Oscillations Te...

For the block under SHM shown in the figure, which of the following quantities varies sinusoidally with time?

The displacement time graph of a particle executing S.H.M. is as shown in the figure. The corresponding force-time graph of the particle is:

Choose the correct option which describe the simple harmonic motion.

I. The acceleration is constant.

II. The restoring force is proportional to the displacement.

III. The frequency is independent of the amplitude.

The ratio of the angular speed of minutes hand and hour hand of a watch is:

A block of mass $$m=4$$ kg undergoes simple harmonic motion with amplitude $$A=6$$ cm on the frictionless surface. Block is attached to a spring of force constant $$k=400 N/m$$. If the block is at $$x = 6$$ cm at time $$t = 0$$ and equilibrium position is at $$x=0$$ then the blocks position as a function of time (with $$x$$ in centimetres and $$t$$ in seconds)?

Which of the following is true of all systems displaying simple harmonic motion?

When a spring-mass system vibrates with simple harmonic motion, the mass in motion reaches its maximum velocity:

A mass on a frictionless surface is attached to a spring. The spring is compressed from its equilibrium position, B , to point A , a distance x from B . Point C is also a distance x from B, but in the opposite direction. When the mass is released and allowed to oscillated freely, at what point or points is its velocity maximized?

The black graph pictured below represents the poition -time graph for a spring -mass system oscillating withnsimple harmonic motion.
The colored, dashed graphs represents shapes of possible velocity time graphs for the same motion.
The vertical axis stands for position or velocity, but the scaling does not matter. The time axis is the same for all graphs.
Which colored graph best represents the possible velocity for the mass in this spring