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Engg Mechanics Quiz 1
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Question 1
A body of mass 5 kg has the displacement as function of time: x = 0.75t3 – 4.5t2 + 12t ; (t = time in seconds, x = in meters). Calculate the displacement of the body at the instant when, acceleration of the body is zero.
Question 2
A body of weight 300 N is being hanged by the support of two ropes as shown below:
What will be the Tensions in ropes AB and BC respectively (in N)?
Question 3
A body of weight 50 N placed on a horizontal surface is just moved by a force of 28.2 N. The frictional force and normal reaction are :-
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
A particle is moving such that s = t3 – 6t2 + 18t + 9, where s is in metres and t is in second. The minimum velocity attained by the particle is
Question 6
If a particle is in static equilibrium, then the work done by the system of force acting on that particle is:
Question 7
A scooter weighing 150kg together with its rider moving at 10m/s is to take a turn of radius 30 m. What horizontal force on the scooter is needed to make the turn possible?
Question 8
What will be the maximum height (in m) to which a can ball will rise, if it is thrown with a velocity of 150 m/s at an angle of 30o with the horizontal?
Question 9
If a body of 500 kg - m2 is rotating about its axis passing through the centre of mass and work done by the rotation of body is 100 kJ. Then the angular velocity of the body in rad/s will be
Question 10
A bullet of mass 0.03 kg moving with a speed of 400 m/s penetrates 12 cm into a fixed block of wood. The average force exerted by the wood on the bullet will be :
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