A spring which obeys Hooke's law extends by 1cm when a mass is hung on it.It extends by a further `3cm` when the attached mass is moved in a horizontal circle making `2` revolutions per second.What is the length of the unstretched spring? Take g= `pi^2`.

A particle of mass 21 g attached to a string of 70 cm length is whirled round in a horizontal circle. If the period of revolution is 2s, find the tension in the string.

A spring when compressed by 4 cm has 2 J energy stored in it. The force requried to extend it by 8 cm will be

When a mass m is attached to a spring, it normally extends by 0.2 m . The mass m is given a slight addition extension and released, then its time period will be

A smooth table is placed horizontally and a spring of unstretched length i_(0) and force constank k has one end fixed to its center. To the other end of the spring is attached a mass m which is making n revolutions per second around the center. Show that the radius r of this unifrom circular motion is kl_(0)//(k-4 pi^(2)mn^(2)) and the tension T in the spring is 4pi^(2)mkl_(0)n^(2)//(k-4pi^(2)mn^(2))

When a body of mass M is hung from a spring, the spring extends by 1 em. If the body of mass 2M be hung from the same spring, the extension of spring will be

A spring balance extends by 2 cm due to a mass on surface of Earth. What will be the extension at a height 2R_(e ) from earth’s surface ?

A spring obeys Hooke's law. When loaded with 12 g its extension is 2 cm Which of the following will produce a 3 cm extension if g=10m//s^(2) ?

A spring of unstretched length 40 cm and spring constant k is attached to a block of mass 1 kg to one of its end. The other end of the spring is fixed on the top of a frictionless inclined plane of inclination theta = 45^(@) as shown in the figure, so that the spring extends by 3 cm. When the mass is displaced slightly and released the time period of the resulting oscillation is T. Determine the value of 5T close to nearest integer.

A small trolley of mass 2.0 kg resting on a horizontal turn table is connected by a light spring to the centre of the table. When the turn table is set into rotation at a speed of 300 rpm, the length of the stretched spring is 40 cm. If the original length of the spring is 35 cm, determine the force constant of the spring.

A small trolley of mass 2.0kg resting on a horizontal turn table is connected by a light spring to the centre of the table. When the turn table is set into rotation at a speed of 360 rpm,, the length of the stretched spring is 43cm. If the original length of the spring is 36cm, determing the force constant of the spring.