Problem 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.

Problem 2: A body of mass 0.025 kg attached to a spring is displaced through 0.1 m to the right of the mean position. If spring constant is 0.4 N/m and its velocity at the end of this displacement be 0.4 m/s, calculate

(1) Time period (2) Frequency (3) Angular speed

(4) Total energy (5) Amplitude (6) Max velocity

(7) Maximum acceleration

Problem 3: A simple pendulum completes one vibration in one second. Calculate its length when g = 9.8 m/s^2.

Problem 4: Calculate the length of a second pendulum having time period 2 s at a place where g = 9.8 m/s^2.

Problem 5: A body of mass ‘m’ suspended from a spring with force constant k vibrates with ‘f1’. When this length is cut into half and the same body is suspended from one of the halves, the frequency is ‘f2’. Find f1/f2.

Problem 6: A mass at the end of a spring describes S.H.M with T = 0.40 s. Find out a when the displacement is 0.04 m?

Problem 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 .50 kg body is hung from the same spring. If the spring is now stretched and then released, what is its period of vibration?

Problem 8: What should be the length of simple pendulum whose time period is one second? What is its frequency?