Oscillations Te...

A particle of mass 200 g executes linear simple harmonic motion with an amplitude 10 cm. When the particles at a point midway between the mean and the extreme position, its kinetic energy is $$3\pi ^{2}\times 10^{-3}J$$. Assuming the initial phase to be $$\dfrac{2\pi }{3}$$, the equation of motion of the particle will be :

The angular frequency of a spring block system is $$\omega _{0}$$ This system is suspended from the ceiling of anelevator moving downwards with a constant speed v$$_{0}$$. The block is at rest relative to the elevator. Lift issuddenly stopped. Assuming the downwards as a positive direction, choose the wrong statement:

A particle of mass 10 gm is placed in a potential field given by $$V = (50x^2 + 100) \ J/kg$$. The frequency of oscillation in cycles/sec is :

System shown in figure is in equilibrium. Find the magnitude of net change in the string tension between two masses just after, when one of the springs is cut. Mass of both the blocks is same and equal to $$m$$ and spring constant of both the springs is $$k$$

A block of mass $$m$$ is attached to the spring $$k$$ in free length and released at time $$t=0$$ in the position $$O$$ from rest. For the subsequent vertical motion of the block the equation of motion is given by $$\left ( \omega =\sqrt{\displaystyle \frac{k}{m}} \right )$$

The system shown in the given figure is in equilibrium. The magnitude of net change in the string tension between two masses after, when one of the springs is cut is 
(Mass of both the blocks is same and equal to $$m$$ and spring constant of both the springs is $$k$$ and acceleration due to gravity $$=g$$)

A particle in SHM has an amplitude of 20 cm and time period of 2 sec. Its maximum velocity will be(in m/s):

A particle is an linear simple harmonic motion between two extreme point A and B. 10 cm apart(See figure below) If the direction from A to B is taken as positive direction, what are signs of displacement x, velocity V and acceleration a, when the particle is at A?

The time period of the oscillating system (image above) is

Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio