Q11 of 13 Page 134

One end of a spring of natural length h and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is allowed to slide on a horizontal rod fixed at a height h. Initially, the spring makes an angle of 37° with the vertical when the system is released from rest. The speed of the ring when the spring becomes vertical is


Natural length of the spring = h = AB


Spring Constant = k





Let, x = extension in spring





When spring is along AC, velocity is zero


K.E. along AC = K1



P.E. along AC = U1





When spring is along AB,


Extension = x = 0


K.E. along AB = K2



P.E. along AB = U2



Since total energy is conserved,






More from this chapter

All 13 →
9

A truck weighing 1000 kg changes its speed from 36 km h1 to 72 km h–1 in 2 minute. Calculate the work done and power spent.

 10

State and prove the law of conservation of energy in case of a freely falling body

 12

State the principle of an ideal machine.

 13

An old clock has a spring that must be wound to make the clock hands move. Which statement describes the energy of the spring and hands of the clock?