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Periodic Motion

consider a ri...

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consider a ring of mass m 1kg and radius r which is connected to an inextensible string which passes over a frictionless puylley the other of string is connected to upper end of massless spring having spring constant 2k k=25ring can rotatein the horizontal position of ring in equilibrium position then time period ofsmall oscillations of ring is

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Q. A ring of mass m and radius a is connected to an inextensible string which passes over a frictionless pulley. The other end of string is connected to upper end of a massless spring of spring constant k. The lower end of the spring is fixed. The ring can rotate in the vertical plane about hinge without any friction, if horizontal position of ring is equilibrium position then find time period of small in oscillations of the ring.

Q. A light pulley is suspended at the lower end of a spring of constant

k_{1}

, as shown in figure. An inextensible string passes over the pulley. At one end of string a mass m is suspended, the other end of the string is attached to another spring of constant

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. The other ends of both the springs are attached to rigid supports, as shown. Neglecting masses of springs and any friction, find the time period of small oscillations of mass m about equilibrium position?

Q. Figure below shows a mass

m

suspended with a massless inextensible string passing over a frictionless pulley. The spring constant is

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, what is the time period of oscillations of the mass?

Q. A body of mass

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hangs from a smooth fixed pulley

P_{1}

by an inextensible string fitted with the springs of stiffness constants

k_{1}

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, which is connected with another ideal spring of stiffness constant

k_{2}

. Find the period of small oscillations of the body.

Q. A uniform current carrying ring of mass m and radius R is connected by a massless string as shown.A uniform magnetic field

B_{o}

exist in the region to keep the ring in horizontal position,then the current in the ring is :

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