Previous Years GATE Questions on Dynamics 2005-2007

Solved GATE Questions on Dynamics

Question 1. A 1 kg mass of clay, moving with a velocity of 10 m/s, strikes a stationary wheel and sticks to it. The solid wheel has a mass of 20 kg and a radius of 1 m. Assuming that the wheel and the ground are both rigid and that the wheel is set into pure rolling motion, the angular velocity of the wheel immediately after the impact is approximately.

(A) Zero

(B) 1/3 rad/s

(C)

(D) 10/3 rad/s

                                                                                                                                                                     GATE-ME-2005

Hint

Question 2. An elevator (lift) consists of the elevator cage and a counter weight, of mass m each. The cage and the counterweight are connected by a chain that passes over a pulley. The pulley is coupled to a motor. It is desired that the elevator should have a maximum stopping time of t seconds from a peak speed v. If the inertias of the pulley and the chain are neglected, the minimum power that the motor must have is

(A) ½ mv²

(B) mv²/2t

(C) mv²/t

(D) 2mv²/t

GATE-ME-2005

Hint

Question 3. A shell is fired from cannon. At the instant the shell is just about to leave the barrel, its velocity relative to the barrel is 3m/s, while the barrel is swinging upwards with a constant angular velocity of 2 rad/s, The magnitude of the absolute velocity of the shell is

(A) 3 m/s

(B) 4 m/s

(C) 5 m/s

(D) 7 m/s

GATE-ME-2005

Hint

Question. 4. A simple pendulum of length 5m, with a bob of mass 1 kg, is in simple harmonic motion. As it passes through its mean position, the bob has a speed of 5 m/s. The net force on the bob at the mean position is

(A) Zero

(B) 2.5 N

(C) 5 N

(D) 25 N

GATE-ME-2005

Hint

 

Question 5. The time variation of the position of a particle in rectilinear motion is given by . If v is the velocity and a the acceleration of the particle in consistent units, the motion started with

(A) v=0, a=0

(B) v=0, a=2

(C) v=2, a=0

(D) v=2, a=2

GATE-ME-2005

Hint

Question.6. A block of mass M is released from point P on a rough inclined plane with inclination angle , shown in the figure below. The co-efficient of friction is .· If <tan , then the time taken by the block to reach another point Q on the inclined plane, where PQ = s, is

(A) 

(B) 

(C) 

(D) 

GATE-ME-2007

Hint

 

Question 7. During inelastic collision of two particles, which one of the following is conserved?

(A) Total linear momentum only

(B) Total kinetic energy only

(C) Both linear momentum and kinetic energy

(D) Neither linear momentum nor kinetic energy

GATE-ME-2007

Hint

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