One end of a spring is rigidly fixed. A block attached to the free end of the spring is pulled through a distance `x_(0)`. On releasing the block, its amplitude of motion cannot exceed `+-x_(0)`. Why?

A source S emitting sound of 300 Hz is fixed of block A which is attached to free end of a spring S_A as shown in the figure. The detector D fixed on block B attached to the free end of spring S_B detects this sound. The blocks A and B are simultaneously displaced towards each other through of 1.0 m and then left to vibrate. Find the maximum and minimum frequencies of sound detected by D if the vibrational frequency of each block is 2 Hz (velocity of sound is 340 m/s).

A spring has natural length 40 cm and spring constant 500 N//m . A block of mass 1 kg is attached at one end of the spring and other end of the spring is attached to a ceiling. The block is relesed from the position, where the spring has length 45 cm .

A source S emitting sound of frequency 300Hz is fixed on block A which is attached to the free end of a spring S_(A) as shown in figure. The detector D fixed on block B attached to free end of spring S_(B) detects this sound. The blocks A and B are simultaneously displaced towards each other through a distance of 1.0m and then left to vibrate. The maximum and minimum frequencies of sound detected by D, if the vibrational frequency of each block is 2Hz are (Velocity of sound v=340m//s )

One end of a fixed spring is pulled by an average force of 10N through a distance of 5cm , find the work done by the spring.

One end of an ideal spring is fixed to a wall at origin O and axis of spring is parallel to x-axis. A block of mass m = 1kg is attached to free end of the spring and it is performing SHM. Equation of position of the block in co-ordinate system shown in figure is x = 10 + 3 sin (10t) . Here, t is in second and x in cm . Another block of mass M = 3kg , moving towards the origin with velocity 30 cm//s collides with the block performing SHM at t = 0 and gets stuck to it. Calculate (a) new amplitude of oscillations, (b) neweqution for position of the combined body, ( c) loss of energy during collision. Neglect friction.

A block of mass 1 kg is attached to one end of a spring of force constant k = 20 N/m. The other end of the spring is attached to a fixed rigid support. This spring block system is made to oscillate on a rough horizontal surface (mu = 0.04) . The initial displacement of the block from the equilibrium position is a = 30 cm. How many times the block passes from the mean position before coming to rest ? (g = 10 m//s^(2))

A block attached with an ideal spring is kept on a smooth horizontal surface. Now the free end of the spring is pulled with a constant velocity u horizontally. Then the maximum energy stored in the spring and bock system during subsequent motion is :