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GATE ME: Engineering Mechanics Champion Quiz 4

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Question 1

If point A is in equilibrium under the action of the applied forces, the values of tensions TAB and TAC are respectively.

Question 2

An elevator is required to lift a body of mass 65 kg.The acceleration (in m/s2) of the elevator which could cause a force of 800 N on the floor is ___

Question 3

Two particles with masses in the ratio 1 : 4 are moving with equal kinetic energies. The magnitude of their linear momentums will conform to the ratio

Question 4

In order to burn 1 Kg of CH4 completely the minimum number of kilograms of Oxygen needed is (take atomic weight of H, C, O as 1,12,16 respectively)

Question 5

A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm the kinetic energy of the flywheel, in Joules is

Question 6

A rigid rod (AB. of length L = m is undergoing translational as well as rotational motion in the x-y plane (see the figure). The point A has the velocity V1 = i + 2j m/s. The end B is constrained to move only along the x direction.

The magnitude of the velocity V2 (in m/s) at the end B is____

Question 7

It is observed that a bus is moving with a speed of 90km/hr loses it brakes. If the driver happens to carry the bus into the runaway hill, then how will the vehicle travel before it comes to a stop?

Question 8

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

Question 9

A person walks up a stalled escalator in 90 seconds. When standing on the same escalator, now moving, he is carried up in 60 seconds. How much time would it take him to walk up the moving escalator?

Question 10

A circular disc of radius 100 mm and mass 1 kg initially at rest at position A, rolls without slipping down a curved path as show in figure. The speed v of the disc when it reaches position B is ___m/s.
Acceleration due to gravity g = 10 m/s2.
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Jul 10ESE & GATE ME