A massless spring has a length 0.5 m and force constant `100 Nm^(-1)`. Its one end of is fixed and the other end is connected to a block of mass 0.5 kg. The system lies on a horizontal table and the block is made to rotate with an angular speed of `2 rad s^(-1)`. Find the elongation of the spring.

Metallic wire 1m in length is moving normally across a field of 0.1 T with a speed of 5 ms^-1 . Find the e.m.f between the ends of the wire.

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine maximum acceleration of the mass,

A metal block of area 0.10 m^2 is connected to a 0.010 kg mass via a string that passes over an ideal pulley (considered massless and frictionless) as in fig.A liquid with a film thickness of 0.30 mm is placed between the block and the table.When released,the block moves ot the right with a constant speed of 00.085 m s^(-1) .Find the coefficient of viscosity of the liquid.

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the frequency of oscillations,

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the maximum speed of the mass

A 1 kg block situated on a rough incline is connected to a spring of spring constant 100N m^-1 as shown in Fig. 6.17. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless.

A massless string of length 1.2 m, has a breaking strength of 2 kg wt. A stone of mass 0.4 kg, tied to one end of the string, is made to move in a vertical circle, by holding the other end in the hand. Can the particle describe the vertical circle? (Take g = 10 m s^-2 )

A mass of 2 kg is attached to the spring of spring constant 50 N m^-1 . The lock is pulled to a distance of 5 cm from its equilibrium position at x = 0 on a horizontal frictionless surface from rest at t = 0. Write the expression for tis displacement at anytime t.

One end of a string of length t is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v the net force on the particle (directed towards the centre) is : T is the tension in the string. [Choose the correct alternative].

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig. 9.13. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires: