Simple Harmonic Motion MCQ - Physics MCQ

Compare with equation of SHM of the particle with the standard equation 

The relation between the acceleration and angular velocity is as follows:
a = ω²x
ω = √a/x
Substituting value of a and x in the above equation:
ω = 2 rad/s.
The correct answer is: 2 rad/s

The value of time period is when the only force acting on the pendulum is mg its weight and its acceleration is g as shown in the picture below.

Now when the trolly is accelerating with force, f, then the resultant acceleration of the pendulum is 
It is depicted in the diagram below.

Then the resultant time period will be 

The correct answer is:

 

The kinetic energy is KE=  ½mv²,where m is the mass of the pendulum, and v is the speed of the pendulum.

At the highest pointof the pendulum, it is momentarily motionless.  All of the energy in the pendulum is gravitational potential energy and there is no kinetic energy.  At the lowest point the pendulum has its greatest speed.  All of the energy in the pendulum is kinetic energy and there is no gravitational potential energy. This perioic motion continues, hence the graph will be the one shown in the picture.

Kinetic energy of A = Kinetic energy of B.

So, ratio of amplitude 
The correct answer is: