A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body ?

A force of 6.4 N stretches a vertical spring by 0.1m. Find the mass that must be suspended from the spring so that it oscillates with a period of pi//4 second.

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass when the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is...........

A circular coil of 16 turns and radius 10 cm carrying a current of 0.75 A rests with its plane normal to an external field of magnitude 5.0 xx 10^(-2)T. The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coll is turned slightly and released, it oscillates about its stable equilibrium with a frequency of 2.0 s^(-1). What is the moment of inertia of the coil about its axis of rotation?

Two identical balls A and B each of mass 0.1 kg are attached to two identical mass less is springs. The spring-mass system is constrained to move inside a right smooth pipe bent in the form of a circle as shown in figure . The pipe is fixed in a horizontal plane. The center of the balls can move in a circle of radius 0.06 m . Each spring has a natural length of 0.06 pi m and force constant 0.1 N//m . Initially, both the balls are displaced by an angle theta = pi//6 radians with respect to diameter PQ of the circle and released from rest. a. Calculate the frequency of oscillation of the ball B. b. What is the total energy of the system ? c. Find the speed of the ball A when A and B are at the two ends of the diameter PQ.

The spring balance A reads 2 kg with a block m suspended from it. A balance B reads 5kg when a beaker with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass in inside the liquid in the beaker as shown in the figure. In this situation:

A 5 kg collar is attached to a spring of spring constant 500 N m^(-1) . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. Calculate (a) the period of oscillation, (b) the maximum speed and (c) maximum acceleration of the collar.

In an experiment to determine acceleration due to gravity, the length of the pendulum is measured as 98 cm be a scale of least count of 1 cm. The period of swing/oscillations is measured with the help of a stop watch having a least count of 1s. The time period of 50 oscillation is found to be 98 s. Express value of g with proper error limits.

In searle's experiment, the diameter of the wire, as measured by a screw gauge of least count 0.001 cm is 0.500 cm. The length, measured by a scale of least count 0.1cm is 110.0cm. When a weight of 40N is suspended from the wire, its extension is measured to be 0.125 cm by a micrometer of least count 0.001 cm. Find the Young's modulus of the meterial of the wire from this data.

A 50 kg girl wearing high heel shoes balances on a single heel . The heel is circular with a diameter 1.0 cm . What is the pressure exerted by the heel on the horizontal floor ?