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12.SSC JE ME Quiz_ Engineering Mechanics Booster Quiz-3

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Question 1

Two steel trusses, XY and YZ of identical size supports a load of 200 N as shown in fig. The length of the truss is 1 m. The force is the truss xy in N is

Question 2

An open tank is filled with water to height of 20m. What is the velocity of the water flow at the outlet, if the outlet is at the base of the tank?

Question 3

Maximum height of a projectile, whose angle of projection is 30° with the horizontal and velocity of projection is u m/sec, is given by

Question 4

A block of mass 4 kg is placed on a rough horizontal plane. A time dependent force F = kt2 acts on the block, where k = 2 Ns–2, Coefficient of friction μ = 0.8. Force of friction between block and the plane as t = 2 s is

Question 5

The velocity of a particle moving in the positive direction of X-axis varies as V=5√x  . Assuming that at t = 0, particle was at x = 0. What is the acceleration of the particle at t= 10 sec?

Question 6

The system shown in the figure is released from rest. At the instant when mass M has fallen through a distance h, the velocity of m will be

Question 7

Two masses M and  are joined together by means of light inextensible string passed over a pulley (frictionless) as shown in fig. If the bigger mass is released, then the small one will ascend with an acceleration of :

Question 8

What is the approximate reaction moment at the fixed support A for the loaded frame shown below? (Take the diameter of the pulley as 250mm)

Question 9

A pin jointed uniform rigid rod of weight 981 N and length 1 m is kept horizontally by an external force F as shown in the figure below. The force F is removed suddenly. At the instant of force removal, the magnitude of vertical reaction (in N) developed at the support is close to

Question 10

A mass ‘M’ is suspended from a ceiling through a string of length ‘L’. This mass moves in a circle of horizontal radius ‘r’ at constant speed such that it is a conical pendulum. The string suspend an angle 'θ' with the normal axis. The tension in the string will be
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