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GATE 2022 ME: Engineering Mechanics Quiz - 4

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Question 1

If a particle is in static equilibrium, then the work done by the system of force acting on that particle is:

Question 2

an elevator weighing 10 kg is moving upward with a acceleration of 4 m/s2. the tension in the supporting cable is  _______(g = 10 m/s2)

Question 3

A light spring of spring constant 50 N/m is kept compressed between two blocks of mass 10 kg and 20 kg on a smooth horizontal surface as shown in fig. After release, the blocks acquire velocities in opposite direction and spring losses contact with the blocks when it acquires natural length. If the spring was initially compressed 100 mm, the final speed of 20 kg block (in m/s) is

Question 4

A bullet of mass 100 g is fired from below into the bob of mass 900 g of a long simple pendulum as shown in fig. The bullet remain inside the bob and bob rises through a height of 1.8 m. The speed of bullet (in m/s) is (Assume acceleration due to gravity =10 m/s2)

Question 5

A block moves horizontally on a smooth surface with a speed of 40 m/s break into two equal parts move continuing in same direction. If one of the parts moves with 50 m/s velocity then fractional change in kinetic energy is

Question 6

Two masses 2 kg and 8 kg are moving with equal Kinetic energy. The ratio of magnitudes of their momentum is

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