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Home » Physics » First Year » Chapter Seven - Oscillations

Chapter Seven – Oscillations

To and fro motion of an object about its mean position is known as oscillatory motion. Periodic motion is a motion which repeats itself after regular intervals of time.
If acceleration of a body is directly proportional to the displacement and is always directed towards its mean position, such a motion is called simple harmonic motion.
The quantity which indicate the state of motion is called phase. In oscillating system total energy remains conserved. A body executes free oscillation if it vibrates on its natural frequency. When external force interferes in free oscillation, forced oscillations occur. The process in which energy is dissipated from the oscillating system is called damping.

  • Q 7.1: A 100g body hung on a spring, which elongates the spring by 4cm. When a certain object is hung on the spring and set vibrating, its period is 0.568s. What is the mass of the object pulling the spring?

  • Q 7.2: A load of 15g elongates a spring by 2cm. If body of mass 294g is attached to the spring and is set into vibration with amplitude of 10cm, what will be its (i) period (ii) spring constant (iii) maximum speed of its vibration?

  • Q 7.3: An 8 kg body executes SHM with amplitude 30cm. The restoring force is 60 N when the displacement is 30 cm. Find. (i) Period. (ii) Acceleration, speed, kinetic energy and potential energy when the displacement is 12cm.

  • Q 7.4: A block of mass 4kg is dropped from a height of 0.8m on to a spring of spring constant k = 1960 N/m, Find the maximum distance through which the spring will be compressed.

  • Q 7.5: A simple pendulum is 50cm long. What will be its frequency of vibration at a place where g = 9.8 m/s(2).

  • Q 7.6: A block of mass 1.6kg is attached to a spring with spring constant 1000N/m, as shown is figure on book 7.14. The spring is compressed through a distance of 2cm and the block is released from rest. Calculate the velocity of the block as it passes through the equilibrium position, x = 0, …

  • Q 7.7: A car of mass 1300kg is constructed using a frame supported by four springs. Each spring has a spring constant 20000N/m. If two people riding in the car have a combined mass of 160kg, find the frequency of vibration of the car, when it is driven over a pot hole in the road. …

  • Q 7.8: Find the amplitude, frequency and period of an object vibrating at the end of a spring, if the equation for its position, as a function of time, is: x= 0.25 cos((π/8)t) What is the displacement of the object after 2s?

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