AE-JE (ME) || Engineering Mechanics Quiz - 3

A scooter accelerates from rest for time t₁ at constant rate α₁ and then retards at constant rate α₂ for time t₂ and comes to rest. The correct value of t₁/t₂ will be:

The velocity of a particle is given by the

Where t is in seconds, and the coefficient has the proper units for r to be in metres.

The acceleration at t=2 sec of the particle is

If S = t³ – 6t² find velocity of t = 2 seconds. And t = 5 second respectively (in m/sec)

Two forces of magnitude 3 units and 5 units act at 60^o with each other. What is the magnitude of their resultant?

A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function of θ , where θ is the angle by which it has rotated, is given as kθ². If its moment of inertia is I then the angular acceleration of the disc is:

Banking of road prevents ________.

A body of mass 0.4 kg moving initially with a constant speed of 10 ms^–1 to the north is subject to a constant force of 8 N directed towards the south. Taking the instant of application of force as t = 0, the position of the body at t = 25 s is