A block of mass m attached to a massless spring is performing oscillatory motion of amplitude `A` on a frictionless horizontal plane. If half of the mass of the block off when it is passing through its mean position, the amplitude of oscillation for the remaining system become `fA`. The value of `f` is .

A block of mass m is attached to two unstretched springs of spring constant k , each as shown. The block is displaced towards right through a distance x and is released The speed of the block as it passes through the mean position will be

A block of mass m is attached to two unstretched springs of spring constant k , each as shown. The block is displaced towards right through a distance x and is released The speed of the block as it passes through the mean position will be

A block of mass 4 kg attached with spring of spring constant 100 N//m is executing SHM of amplitude 0.1 m on smooth horizontal surface as shown in figure. If another block of mass 5 kg is gently placed on it, at the instant it passes through the mean position and new amplitude of motion is n^(-1) meter then find n . Assuming that two blocks always mvoe together .

A system consisting of a smooth movable wedge of angle alpha and a block A of mass m are connected together with a massless spring of spring constant k, as shown in the figure. The system is kept on a frictionless horizontal plane. If the block is displaced slighlly from equilibrium and left to oscillate, find the frequency of small oscillations.

A mass m, connected to a horizontal spring performs SHM with amplitude A. While mass m, is passing through mean position, another mass m, is placed on it so that both the masses move together with amplitude A,. The ratio of

A small block of mass m is kept on a bigger block of mass M which is attached to a vertical spring of spring constant k as shown in the figure. The system oscilates verticaly. a.Find the resultant force on the smaller block when it is displaced through a distance x above its equilibrium position. b. find the normal force on the smaller blok at this position. When is this force smallest smaller block at this position. When is this force smallest in magnitude? c. What can be the maximum amplitude with which the two blocks may oscillate together?

A small block of mass m is kept on a bigger block of mass M which is attached to a vertical spring of spring constant k as shown in the figure. The system oscilates verticaly. a.Find the resultant force on the smaller block when it is displaced through a distance x above its equilibrium position. b. find the normal force on the smaller blok at this position. When is this force smallest smaller block at this position. When is this force smallest in magnitude? c. What can be the maximum amplitude with which the two blocks may oscillate together?

A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm. Determine the value of the damping constant for this motion. (take In 2 =0.693 )

A horizontal spring-block system of mass 1kg executes SHM of amplitude 10 cm. When the block is passing through its equilibrium position another mass of 1kg is put on it and the two move together.