Forces in Mechanics: Gravity, Weight, and Normal Force
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Forces in Mechanics: Gravity, Weight, and Normal Force

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Questions and Answers

What is the concept commonly used in Engineering Mechanics?

  • Motion
  • Energy
  • Force (correct)
  • Velocity

    • What is the symbol used to represent the radius of a circle?

  • D
  • a
  • π
  • r (correct)

    • What is the formula to calculate the moment of inertia of a circle about its axis?

  • Ix = πab/4
  • Ix = πab/2
  • Ix = πab³/2
  • Ix = πab³/4 (correct)

    • What is the diameter of a circle in terms of its radius?

    <p>D = 2r</p> Signup and view all the answers

    What is the field of study where forces are classified and analyzed?

    <p>Mechanics</p> Signup and view all the answers

    What is the location of the EXCEL FIRST REVIEW AND TRAINING CENTER, INC. in Cebu?

    <p>JRT Bldg. Imus Ave, Cebu City</p> Signup and view all the answers

    What is the direction of the gravitational force exerted on an object?

    <p>Towards the center of the earth</p> Signup and view all the answers

    What is the difference between dynamic friction and static friction?

    <p>Dynamic friction is less than static friction</p> Signup and view all the answers

    What is represented by the symbol 'R' in the given equation?

    <p>Resultant force</p> Signup and view all the answers

    What is the name of the force that is directed towards the center of the earth?

    <p>Gravitational force</p> Signup and view all the answers

    What does the symbol 'a' represent in the given equation?

    <p>Length of semi-major axis</p> Signup and view all the answers

    What is the coefficient of friction represented by in the given equation?

    <p>μ</p> Signup and view all the answers

    What is the unit for the acceleration due to gravity (g) in the metric system?

    <p>m/s2</p> Signup and view all the answers

    What is the formula for the weight of an object?

    <p>W = mg</p> Signup and view all the answers

    What is the moment of inertia also called?

    <p>The second moment of area</p> Signup and view all the answers

    What is the formula for the centroidal moment of inertia of a triangle?

    <p>Ib = bh3/3</p> Signup and view all the answers

    What is the normal force?

    <p>A force that is perpendicular to the surface of contact</p> Signup and view all the answers

    What is the unit for the acceleration due to gravity (g) in the imperial system?

    <p>ft/s2</p> Signup and view all the answers

    What type of friction opposes a moving object?

    <p>Kinetic friction</p> Signup and view all the answers

    What is the formula for the moment of inertia of a triangle?

    <p>I = bh^3/12</p> Signup and view all the answers

    What is the coefficient of static friction dependent on?

    <p>Type of materials or the nature of surfaces in contact</p> Signup and view all the answers

    What is the relationship between Ix and Iy?

    <p>Ix = Iy</p> Signup and view all the answers

    What is the formula for the moment of inertia of a circle?

    <p>I = πr^4/4</p> Signup and view all the answers

    What is the formula for the slope of the angle of friction?

    <p>tanφ = μ</p> Signup and view all the answers

    What is the moment of inertia of a triangle about its centroid?

    <p>I = 36</p> Signup and view all the answers

    What is the formula for the moment of inertia of a circle about its diameter?

    <p>I = πd^4/64</p> Signup and view all the answers

    What is the direction of the friction force with respect to the actual motion?

    <p>Opposite direction</p> Signup and view all the answers

    What is the formula for calculating the moment of inertia of a rectangle with respect to an axis passing through its centroid?

    <p>Ib = bh/12</p> Signup and view all the answers

    What is the formula for calculating the moment of inertia of a rectangle with respect to an axis passing through its base?

    <p>Ix = bh^3/12</p> Signup and view all the answers

    What is the purpose of the transfer formula in calculating moment of inertia?

    <p>To calculate the moment of inertia for axis not at the centroid nor at the base</p> Signup and view all the answers

    What is the correct definition of friction?

    <p>A force that is parallel to the surface of contact</p> Signup and view all the answers

    What is the type of friction that opposes impending motion?

    <p>Static friction</p> Signup and view all the answers

    What is the correct statement about the direction of friction force with respect to the motion?

    <p>Friction force is always opposite to the direction of the motion</p> Signup and view all the answers

    What is the correct definition of moment of inertia?

    <p>A measure of the resistance to angular motion</p> Signup and view all the answers

    Study Notes

    Forces in Mechanics

    • Force is a common concept used in Engineering Mechanics, with different types and classifications.
    • Gravitational Force is a force exerted by the earth's gravity on an object, represented by the weight of the object, directed towards the center of the earth.

    Weight

    • Weight (W) is defined as W = mg, where g = 9.81 m/s2 or 32.2 ft/s2.

    Normal Force

    • Normal Force (N) is a force that is perpendicular to the surface of contact, if there are two objects or planes in contact with each other.

    Friction Force

    • Friction Force (F) is a force that is parallel to the surface of contact, if there are two objects or planes in contact with each other.
    • Friction is the limited amount of resistance to sliding between the surfaces of two bodies in contact.
    • Kinetic friction is the friction against a moving object, while static friction is the friction against a stationary object.
    • The coefficient of static friction depends on the type of materials or the nature of surfaces in contact.

    Moment of Inertia

    • Moment of Inertia is also called the second moment of area.
    • Centroidal moment of inertia is the moment of inertia of the figure with respect to an axis passing through the centroid.
    • The moment of inertia can be calculated using the transfer formula: I = Ig + Ad2, where d is the distance from the centroid to the axis, and A is the area of the figure.

    Moment of Inertia for Different Shapes

    • Rectangle: Ix = bh3 / 12, Iy = bh3 / 12
    • Triangle: Ix = bh3 / 36, Iy = bh3 / 36
    • Circle: Ix = πr4 / 4, Iy = πr4 / 4

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    Description

    Explore the fundamental concepts of forces in engineering mechanics, including gravitational force, weight, and normal force, with their definitions and formulas.

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