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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

You are riding an automobile of mass 3000 kg. Assuming that you are examining the oscillation characteristics... read more
You are riding an automobile of mass 3000 kg. Assuming that you are examining the oscillation characteristics of its suspension system. The suspension sags 15 cm when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 50% during one complete oscillation. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming that each wheel supports 750 kg. g = 10 m/s2. read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals... read more
Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period. read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

A circular disc, of mass 10 kg, is suspended by a wire attached to its centre. The wire is twisted by... read more
A circular disc, of mass 10 kg, is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations of found to be 1.5 s. The radius of the disc is 15 cm. Determine the torsional spring constant of the wire. (Torsional spring constant) a is defined by the relation J = – αθ, where J is the restoring couple and θ the angle of twist). read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on... read more
A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period? read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

The acceleration due to gravity on the surface of moon is 1.7 ms-2. What is the time period of a simple... read more
The acceleration due to gravity on the surface of moon is 1.7 ms-2. What is the time period of a simple pendulum on the surface of moon if its time-period on the surface of Earth is 3.5 s? (g on the surface of Earth is 9.8 ms-2 .) read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If... read more
A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end? read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the... read more
A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 ms-1 ? (g = 9.8 ms-2 ) read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so... read more
A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 2 0°C = 340 ms-1. read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

You have learnt, that a travelling wave in one dimension is represented by a function y = f(x, t), where... read more
You have learnt, that a travelling wave in one dimension is represented by a function y = f(x, t), where x and t must appear in the combination x-vtorx + vt i.e., y =f (x ± vt). Is the converse true? That is, does every function of (x – vt) or (x + vt) represent a travelling wave? Examine, if the following functions for y can possibly represent a travelling wave? read less

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Asked on 16/12/2021 Learn Unit 10-Oscillation & Waves

A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430... read more
A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is 340 ms-1). read less

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