Oscillations Te...

A force $$F=-10x+2$$ acts on a particle of mass $$0.1$$kg, where '$$k$$' is in m and $$F$$ in newton.If it is released from rest at $$x=-2$$m,find:(a) amplitude; (b) time period; (c) equation of motion.

A particle executes SHM with time period $$T$$ and amplitude $$A$$.The maximum possible average velocity in time $$\displaystyle{\dfrac{T}{4}}$$ is

The dimensional formula for amplitude of SHM is

What is the number of degrees of freedom of an oscillating simple pendulum?

A particle is moving on a circle with uniform speed. Its motion is

Two particles P and Q describe SHM of same amplitude a and frequency v along the same straight line. The maximum distance between the two particles is $$a\sqrt{2}$$. The initial phase difference between the particle is

The phase difference between the velocity and displacement of a particle executing SHM is

The displacement of a particle executing SHM at any instant t is $$x=0.01 \sin{100(t+0.05)}$$ then its time period will be

Which of the following characteristics must remain constant for undamped oscillations of the particle?

A person wearing a wrist watch that keeps correct time at the equator goes to N-pole. His watch will