A small block of mass 100 g is tied to a spring of spring constant 7. 5 N m^-1 and length 20 cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a s…

Question

A small block of mass 100 g is tied to a spring of spring constant 7. 5 N m^-1 and length 20 cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5 rad s^-1 about point A, then tension in the spring is

Accepted Answer

Correct answer: A. (a) Centripetal force will be provided by the spring force. Let the elongation in the spring be x, then we can write ⇒k x=m ω^2_(r+x_) ⇒7.5 x=2.5_(0.2+x_) ⇒x= 0.55=0.1 Therefore, required tension will be T = kx = 0. 75 N.

Solution

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