Questions in Oscillations

Select	Question
	The displacement equation of a particle is $x=3\sin 2t+4\cos 2t.$ The amplitude and maximum velocity will be respectively
	Velocity at mean position of a particle executing S.H.M. is $v$, they velocity of the particle at a distance equal to half of the amplitude
	The instantaneous displacement of a simple pendulum oscillator is given by $x=A\cos \left( \omega t+\frac{\pi }{4} \right)$. Its speed will be maximum at time
	Which of the following is a necessary and sufficient condition for S.H.M.
	If a hole is bored along the diameter of the earth and a stone is dropped into hole
	The acceleration of a particle in S.H.M. is
	The displacement of a particle moving in S.H.M. at any instant is given by $y=a\sin \omega t$. The acceleration after time $t=\frac{T}{4}$ is (where T is the time period)
	The amplitude of a particle executing S.H.M. with frequency of 60 Hz is 0.01 m. The maximum value of the acceleration of the particle is
	A small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 sec. The maximum force acting on it is
	A body executing simple harmonic motion has a maximum acceleration equal to $24metres/se{{c}^{2}}$ and maximum velocity equal to $16\ metres/sec$. The amplitude of the simple harmonic motion is