Model Question Paper PDF

Model Question Paper Q1) a) State and Explain Vargino’s therom with example (2 Marks) b) A Trolley is acted upon by two forces as shown in fig. If θ = 250 and the resultant R of the two forces is vertical, then determine magnitude of the force P and resultant R....

Model Question Paper Q1) a) State and Explain Vargino’s therom with example (2 Marks) b) A Trolley is acted upon by two forces as shown in fig. If θ = 250 and the resultant R of the two forces is vertical, then determine magnitude of the force P and resultant R. (6 Marks) c).Find the magnitude of the resultant and its location of the following forces acting at a point O as shown in fig ( 6 Marks) Q2) a) A 90-N force is applied to the control rod AB as shown. Knowing thathe length of the rod is 225 mm, determine the moment of the force about point B by resolving the force into components along AB and in a direction perpendicular to AB. (4 Marks) b)Locate the centroid of the plane area shown. (5 Marks) c)Determine the moment of inertia of the area shown in Fig. about the x axis. (5marks) Q3) a) explain with neat sketch ,type of load on a beam (2Marks) b)Determine the tension developed in wires CA and CB required for equilibrium of the 10kg cylinder as shown in following figure(6 Marks) c) If the 1.5-m-long cord AB can withstand a maximum force of 3500 N, determine the force in cord BC and the distance y so that the 200-kg crate can be supported. (6 marks) Q4) a) A simply supported beam AB of span 100m is loaded as shown in fig. Find the reaction at A and B (4Marks) b) A beam loaded and supported as shown in fig. Find reaction at A and B.  (5Marks) C)A beam loaded and supported as shown in fig. Find reaction at A and moment at A. (5 Marks) Q.5) a)Define coefficient of static friction and coefficient of dynamic friction. (2 marks) b) Determine the horizontal force P needed to just start moving the 30 kg block up the plane as shown in figure. Take µs = 0.25 & µk = 0.2. (6 Marks)  c) A uniform ladder of length 3.25 m and weighing 250 N is placed against a smooth vertical wall with its lower end 1.25 m from the wall. The coefficient of friction between the ladder and floor is 0.3. What is the frictional force acting on the ladder at the point of contact between the ladder and the floor? Show that the ladder will remain in equilibrium in this position.(6Marks) Q6) a) A flexible cable which supports the 100kg load is passed over a fixed circular drum and subjected to a force P=500N to maintain equilibrium. If coefficient of static friction between cable and the fixed drum is 0.3, determine the minimum value which the angle ‘α’ may have before the load begins to slip. (4 Marks) b) Determine the force in each member of the truss shown in Fig. and indicate whether the members are in tension or compression. (5 marks) c) Determine the force in members CD and DF of the truss shown. ( 5 Marks) Q7) a) write down equation of motion ,drive any one equation. (2Marks) b) A ball is dropped from the top of a tower 30 m high. At the same instant a second ball is thrown upward from the ground with an initial velocity of 0.15 m/sec. When and where do they pass and with what relative velocity. (6 Marks) C)To test its performance, an automobile is driven around a circular test track of diameter d. Determine (a) the value of d if when the speed of the automobile is 66 m/sec, the normal component of the acceleration is 11 m/s2, (b) the speed of the automobile if d = 600 m and the normal component of the acceleration is measured to be 0.6 g. (6 marks) Q8) a) A man standing on an incline with slope 1 in 4 fires two bullets; one up the incline and the other down the incline. Both the bullets are fired with velocity 200 m/s and at angles of 45 degree with horizontal. Make calculations for the rage of the bullets along the plane. (4 Marks) b) The position of a particle is = {[3 3 − 2 ] − [4 2 + ] + [3 2 − 2] }m, where t is in seconds. Determine the magnitude of the particle’s velocity and acceleration when t = 2 s. (5Marks) c) A motorist is travelling at 80 kmph, when he observes a traffic light 200 m ahead of him turns red. The traffic light is timed to stay red for 10 seconds. If the motorist wishes to pass the light without stopping, just as it turns green, determine: 1) the required uniform deceleration of the motor, and 2) the speed of the motor as it passes the light. (5 Marks) Q9) a) state and explain 1)Newton's second law of motion 2)D’alembert’principle. (2 Marks) b) The acceleration of a package sliding at Point A is 3 m/s2. Assuming that the coefficient of kinetic friction is the same for each section, determine the acceleration of the package at Point B. (6Marks) c) A 200 kg block rests on a horizontal plane. Find the magnitude of the force P required to give the block an acceleration of 10 m/s2 to the right. The coefficient of kinetic friction between the block and the plane is μk = 0.25. (6Marks) Q10) a) A spring is stretched by 50 mm by the application of a force. Find the work done, if the force required to stretch 1 mm of the spring is 10 N. (4Marks) b)Wagon A of mass 100 tonnes moving at 5 km/hr collides with the back of another wagon B of mass 40 tonnes and moving in the same direction at 1.5 km/hr. After impact, the wagon B sets moving with a velocity of 7.5 km/hr. Determine the velocity of wagon A after the impact and the impact and the impulse between the two wagons. (5 Marks) c)A body of 10 kg mass moving towards right with a speed of 8 m/s strikes with another body of 20 kg mass moving towards left with 25 m/s. Determine: Final velocity of the two bodies, Loss in kinetic energy due to impact and Impulse acting an either body during impact. Take coefficient of restitution between the bodies as 0.65. (5Marks)