Kinematics and Theory of Machines Quiz

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Questions and Answers

Match the following parameters of the cam follower mechanism with their corresponding descriptions:

First rotation of cam (120°) = Follows outwards 20 mm with simple harmonic motion Dwell after first rotation (30°) = Follower is stationary Second rotation of cam (120°) = Follows inwards with simple harmonic motion Dwell after second rotation (90°) = Follower is stationary

Match the following components with their dimensions:

Crank OA = 28 mm Link AB = 44 mm Link BC = 49 mm Link BD = 46 mm

Match the following angles of crank rotation with their corresponding follower actions:

0° to 120° = Outward movement 20 mm 120° to 150° = Follower dwells 150° to 270° = Inward movement 20 mm 270° to 360° = Follower dwells

Match the following velocities and parameters with their respective conditions:

Angular velocity of the crank OA = 600 r.p.m. Center distance between O and C = 65 mm Vertical path of slider = 11 mm below point C Minimum radius of the cam = 25 mm Signup and view all the answers

Match the following types of motion with their characteristics during cam rotation:

Simple harmonic motion during first 120° = Outward movement of follower Stationary during next 30° = No movement of follower Simple harmonic motion during next 120° = Inward movement of follower Stationary during next 90° = No movement of follower Signup and view all the answers

Match the following parameters of linear motion with their corresponding values:

Total cam rotation = 360° Distance moved outward = 20 mm Total dwell time = 120° Total motion time = 240° Signup and view all the answers

Match the following mechanical components with their functions:

Crank = Converts rotational motion to linear Follower = Follows the cam profile Cam = Controls the movement of the follower Link = Connects different components in the mechanism Signup and view all the answers

Match the following terms with their definitions in mechanical systems:

Dwell = Period with no motion Reciprocating = Linear back and forth motion Cam profile = Shape that dictates motion Simple harmonic motion = Motion described by sine wave Signup and view all the answers

Match the following terms related to Kinematics and Theory of Machine with their definitions:

Angular velocity = The rate of change of angular displacement Rubbing speed = The speed at which two surfaces in contact slide over each other Lift = The maximum distance a follower moves vertically Dwell = The period during which the follower does not move Signup and view all the answers

Match the following angles with their significance in the cam profile:

120° = Outstroke with uniform velocity 60° = Dwell period 90° = Return stroke with uniform velocity Remaining period = Final dwell phase Signup and view all the answers

Match the following terms with the corresponding velocities:

Linear velocity = $ u = ext{ω} imes r$ Angular velocity = $ ext{ω} = rac{ ext{θ}}{t}$ Rubbing speed at pin C = Speed determined by the pin diameter and its rotation Velocity of block F = Dependent on the crank speed and linkage configuration Signup and view all the answers

Match the following components with their measurements:

Crank AB = 150 mm Coupler BC = 450 mm Link EF = 375 mm Pin diameter C = 50 mm Signup and view all the answers

Match the following types of followers with their movement characteristics:

Knife-edge follower = In line movement Roller follower = Circular barrel movement Flat-faced follower = Linear sliding movement Oscillating follower = Back and forth angular movement Signup and view all the answers

Match the following mechanical concepts with their definitions:

Slip = Relative movement between belt and pulley due to insufficient friction Creep = Gradual slip occurring with time under load Lower pair = Two elements that have linear or planar motion Higher pair = Two elements that have a combination of motion Signup and view all the answers

Match the following types of pairs with their descriptions:

Lower pair = Surfaces in contact having relative motion along a line Higher pair = Surfaces in contact having relative motion at a point Turning pair = Link rotates about a fixed axis with no translational motion Rolling pair = Link rotates about a fixed point with some translational movement Signup and view all the answers

Match the following equations with their relevant physical concepts:

$ heta = ext{ω} imes t$ = Angular displacement over time $ u = r imes ext{ω}$ = Linear velocity at radius $ ext{Power} = ext{Torque} imes ext{ω}$ = Relation between power and torque $ ext{Torque} = r imes F$ = Torque calculated from radius and force Signup and view all the answers

Match the following components with their descriptions in a four bar chain mechanism:

Crank = Rotating member providing input motion Coupler = Link connecting crank and follower Follower = Link that follows the motion of another link Fixed frame = Stationary link providing support Signup and view all the answers

Match the following torque-related terms with their units:

Power = Watt (W) Torque = Newton-meter (N·m) Angular speed = Radians per second (rad/s) Linear speed = Meters per second (m/s) Signup and view all the answers

Match the following terms with their attributes:

Kinematic link = Rigid body that transmits motion Kinematic pair = Two links connected to allow relative motion Kinematic chain = A series of links forming a closed loop Mechanism = An arrangement of links to perform work Signup and view all the answers

Match the following mechanisms with their characteristics:

Crank and slotted lever = Used for quick return motion Peaucellier mechanism = Converts rotary motion to perfect straight line motion Roberts mechanism = Used in drafting machines for varying sizes Four-link mechanism = Classified based on Grashof's law Signup and view all the answers

Match the following gear parameters with their characteristics:

Pressure angle = Angle between the line of action and the normal to tooth Addendum = Height of the tooth above the pitch circle Module = Size unit of gear teeth Teeth in contact = Number of pairs of teeth engaged during operation Signup and view all the answers

Match the following terms with their definitions:

Degree of freedom = Number of independent movements in a mechanism Kinematic chain = A series of links connected by joints Binary joint = Joint connecting two links Quaternary joint = Joint connecting four links Signup and view all the answers

Match the following terms with their examples:

Lead screw = Higher pair in a lathe Crank = Driving member in a crank mechanism Slotted bar = Guides motion in the slotted lever mechanism Drawing machine = Used for enlargement or reduction of drawings Signup and view all the answers

Match the following cam follower types with their motion description:

Knife edge follower = Has a sharp edge that follows the contour Roller follower = Uses a roller for contact with the cam Flat follower = Has a flat surface against the cam Spherical follower = Has a spherical end for smooth motion Signup and view all the answers

Match the following factors with their effects on belt drive performance:

Diameter of pulley = Influences speed and torque transmission Coefficient of friction = Affects the grip between belt and pulley Angle of lap = Determines the contact area between the belt and pulley Maximum tension = Limits the load capacity of the belt Signup and view all the answers

Match the following mechanisms with their uses:

Quick return mechanism = Used in shapers and slotters Hart mechanism = Generates straight line motion Genova mechanism = Used in watches for precise movement Cam mechanism = Transforms rotary motion to linear motion Signup and view all the answers

Match the following cam design parameters with their specifications:

Cam lift = Vertical distance the follower moves Dwell = Phase where the follower remains stationary Rotation angle for return = Angle through which the cam rotates to return the follower Displacement diagram = Graphical representation of the follower's path Signup and view all the answers

Match the following terms in belt drives with their definitions:

Belt speed = Distance covered by belt in one revolution Pulley diameter = Size of the rotating wheel driving the belt Angle of contact = Angle through which the belt wraps around the pulley Tension ratio = Ratio of maximum to minimum tension in the belt Signup and view all the answers

Match the following calculations with their applications:

Calculating degree of freedom = Essential for mechanism analysis Finding inclination of the slotted bar = Important for understanding motion dynamics Time ratio of cutting to return stroke = Used to optimize machining processes Length of stroke determination = Determines the working range of a mechanism Signup and view all the answers

Match the following concepts with their explanations:

Grashof’s law = Helps classify linkages based on mobility Types of constrained motion = Defines how parts move relative to each other Relationship between links and pairs = Describes the interaction within a kinematic chain Functionality of quick return mechanisms = Discusses operational efficiency in machines Signup and view all the answers

Match the following mechanisms with their descriptions:

Single slider crank mechanism = A four-bar linkage that converts rotary motion Cam with roller follower = Used to convert rotational motion into linear motion Belt drive = Transmits power between pulleys via a flexible belt Four bar mechanism = A closed-loop linkage with four links Signup and view all the answers

Match the following phases of synthesis with their descriptions:

Preliminary phase = Identifying requirements and specifications Conceptual phase = Generating ideas and initial designs Refinement phase = Improving and detailing the chosen concepts Validation phase = Ensuring the designs meet the required criteria Signup and view all the answers

Match the following types of friction with their characteristics:

Static friction = Resists the initiation of sliding motion Kinetic friction = Resists motion of sliding objects Rolling friction = Occurs when an object rolls over a surface Fluid friction = Resistance from a liquid or gas medium Signup and view all the answers

Match the following mechanisms with their primary applications:

Belt drives = Used for transmitting power in machinery Slider crank mechanism = Converts rotary motion to linear motion in engines Cam mechanisms = Used for timing and controlling motion in machinery Four bar linkages = Used in robotic arms and automotive suspensions Signup and view all the answers

Match the following concepts with their examples:

Angular velocity = Rotation of a shaft in an engine Slip = Loss of grip in a belt drive system Creep = Movement of a vehicle on a slope under load Tension ratio = Comparison of forces in a belt during operation Signup and view all the answers

Match the following formulas with their applications:

Empirical tension relationship = Used to calculate tension in flat belt drives Distance travelled formula = Calculates stopping distance of a vehicle Kinematic equations = Used for motion analysis in mechanisms Power transmission formula = Determines power transmitted through a belt Signup and view all the answers

Match the following properties with their relevant materials:

Belt thickness = Influences the load capacity of a belt drive Diameter of pulleys = Affects rotational speed and torque distribution Coefficient of friction = Determines the gripping ability between surfaces Radius of cam = Influences the displacement of the follower Signup and view all the answers

Match the following types of brakes with their characteristics:

Internal expanding shoe brake = Uses friction to slow down by expanding shoes against a drum External contracting brake = Contracts around a drum to produce braking force Hydraulic brake = Uses fluid pressure to activate braking components Disc brake = Uses friction between pads and a rotating disc to slow down Signup and view all the answers

Match the following types of mechanisms with their applications:

Single slider crank = Used in reciprocating engines Four bar mechanism = Commonly used in robotic arms Cam and follower = Used in automatic machines for motion control Belt drive mechanism = Transmits power between rotating shafts Signup and view all the answers

Match the following terms related to velocities with their descriptions:

Relative velocity = Velocity of one body as observed from another body Instantaneous center = Point in a moving body that has zero velocity at a given instant Body centrode = Path traced by a point in a body during motion Space centrode = Path traced by a corresponding point in the space Signup and view all the answers

Match the following mechanisms with their synthesis methods:

Three position synthesis = Defines mechanism specifications using specified positions Relative pole method = Involves using points to construct paths for a linkage Precision point method = Uses exact points to achieve a desired output function Graphical synthesis = Utilizes geometric methods to design linkages Signup and view all the answers

Match the following types of oscillating motions with their descriptions:

Crank rotation = Circular motion of a crank around a fixed point Link oscillation = Back and forth movement of a link around a pivot Angular velocity = Rate of change of the angle of a rotating body Angular acceleration = Rate of change of angular velocity over time Signup and view all the answers

Match the following mechanical terms with their definitions:

Coriolis component = An apparent force due to the rotation of a reference frame Acceleration diagram = A graphical representation of acceleration vectors in a mechanism Crank length = Distance from the center of rotation to the point on the crank Connecting rod = Links the crank to the oscillating member in a slider crank mechanism Signup and view all the answers

Match the following laws and principles with their applications:

Law of gearing = Ensures continuous contact between gears during rotation Arnold Kennedy theorem = Describes the motion of couplings in a machine Freudenstein's equation = Used for analyzing four-bar mechanism parameters Kinematic analysis = Evaluates motion parameters in mechanical systems Signup and view all the answers

Study Notes