Question 7.1. A force of 0.4 N is required to displace a body attached to a spring through 0.1 m from its mean position. Calculate the spring constant of the spring.

Question 7.2. A body of mass 0.025 kg attached to a spring is displaced through 0.10 m to right of mean position, if spring constant of spring is 0.4N/m and its velocity at the end of this displacement is 0.4 m/s. Calculate (i) Time period “T” (ii) Frequency ‘f’ (iii) Angular speed ‘ω’ (iv) The …

Question 7.3. A simple pendulum completes one vibration in one second calculate its length when g= 9.81 m/s^-2.

Question 7.4. Calculate the length of a simple pendulum having time period 2 s at a place where g= 9.8 m/s^2.

Question 7.5. A body of mass ‘m’, suspended from a spring with force constant k, vibrates with ‘f1’. When its length is cut into half and the same body is suspended from one of the halves, the frequency is ‘f2’. Find out f1f2^-1.

Question 7.6. A mass at the end of spring describes S.H.M with T= 0.40 s. Find out ‘a’ when the displacement is 0.04m.

Question 7.7. A block weighing 4.0 kg extends a spring by 0.16 m from its un-stretched position. The block is removed and a 0.50 kg body is hung from same spring. If the spring is now stretched and then released. What is its period of vibration?

Question 7.8. What should be the length of simple pendulum whose time period is one second? What is its frequency?

Question 7.9. A spring, whose spring constant is 80.0 N/m, vertically supports a mass of 1.0 kg is at rest position. Find the distance by which the mass must be pulled down, so that on being released, it may pass the mean position with velocity of one meter per second.

Question 7.10.A 8000 g body vibrates S.H.M with amplitude 0.30 m. The restoring force is 60 N and the displacement is 0.30m. Find out (i) T Find out (ii) a (iii) v (iv) K.E (v) P.E when the displacement is 12 cm.