Questions
1
The piston of a steam engine moves with simple harmonic motion. The crank rotates at 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston, when it is at a distance of 0.75 metre from the centre.
Answer: 8.31 m/s
2
The piston of a steam engine moves with simple harmonic motion. The crank rotates at 120 r.p.m. with a stroke of 2 metres. Find the acceleration of the piston, when it is at a distance of 0.75 metre from the centre.
Answer: 118.46 m/s2
3
Law of isochronism
Answer: states the time period (tp ) of a simple pendulum does not depend upon its amplitude of vibration and remains the same, provided the angular amplitude (θ) does not exceed 4°.
4
Law of mass
Answer: states the time period (tp ) of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string.
5
Law of length
Answer: states the time period (tp) of a simple pendulum is directly proportional to √L , where L is the length of the string.
6
Law of gravity
Answer: states the time period (tp ) of a simple pendulum is inversely proportional to √g , where g is the acceleration due to gravity.
7
A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Determine the frequency of natural vibration of the system.
Answer: 4.98 Hz
8
A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Find the velocity of the mass, when it is 5 mm below its rest position.
Answer: 0.36 m/s
