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Newton's Laws for System of Particles

A particle of...

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A particle of mass m is fixed to one end of a light spring of force constant k and unstretched length l. The system is rotated about the other end of the spring with an angular speed omega in gravity free space. Find elongation in spring.

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Q. A particle of mass

m

is fixed to one end of a light spring of force constant

k

and unstretched length

l

. The system is rotated about the other end of the spring with an angular

ω

, in gravity free space. The increase in length of the spring will be

Q. A particle of mass

m

is fixed to one end of a light of a light spring having force constant

k

and unstretched length

l

. The other end is fixed. The system is given an angular speed

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about the fixed end of the spring, such that it rotates in a circle in gravity free space. Then the stretch in the spring is

Q. A particle of mass m is fixed to one end of a massless spring of spring constant k and natural length l_l0 . The system is rotated about the other end of the spring with an angular velocity w , in gravity free space . What is the final length if spring ,?

Q. A very small mass

m

is fixed to one end of a massless spring of constant

k

and normal length

l

. The spring and the mass are rotated about the other end of the spring with angular speed

ω

. Neglect the effect of gravity. Extension in the spring is:

One end of a massless spring of spring constant 100 N/M and natural length 0.5 m is fixed and the other end is connected to a particle of mass 0.5 kg lying on a frictionless horizontal table. The spring remains horizontal. if the mass is made to rotate at an angular velocity of 2 rad/s. Find the elongation of the spring.

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