# First Year Physics Oscillations What is meant by phase angle? Does it define angle between maximum displacement and the driving force?

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##### What is meant by phase angle? Does it define angle between maximum displacement and the driving force?

What happens to the period of simple pendulum if its length is doubled? What happens if the suspended mass is doubled?

A block of mass 1.6 \mathrm{~kg} is attached to a spring with spring constant 1000 \mathrm{Nm}^{-1} as shown in Fig. The spring is compressed through a distance of 2.0 \mathrm{~cm} and the block is released from rest.(i) through a distance of 2.0 \mathrm{~cm} and the block is released from rest. Calculate the velocity of the block as it passes thrions equilibrium position \mathrm{x}=0 if the surface is frictionless.

Show that in SHM the acceleration is zero when the velocity is greatest and the velocity is zero when the acceleration is greatest?

Explain the relation between total energy potential energy and kinetic energy for body oscillating with SHM.

Name two characteristics of simple harmonic motion.

A simple pendulum is 50.0 \mathrm{~cm} long. What will be its frequency of vibration at a place where \mathrm{g}=9.8 \mathrm{~ms} ?

A block of mass 4.0 \mathrm{~kg} is dropped from a height of 0.80 \mathrm{~m} onto a spring of spring constant k=1960 \mathrm{Nm} . Find the maximum distance through which the spring will be compressed.

A car of mass 1300 \mathrm{~kg} is constructed using a frame supported by four springs. Each spring has a spring constant 20000 \mathrm{~N} / \mathrm{m} . If two people riding in the car have a combined mass of 160 \mathrm{~kg} . find the frequency of vibration of the car when it is driven over a pothole in the road. Assume the weight is evenly distributed.

In relation to SHM explain the equation:(ii) \mathrm{a}=-\omega^{2} \mathrm{x}

Describe some common phenomena in which resonance plays an important role.

If a mass spring system is hung vertically and set into oscillations why does the motion eventually stop?

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\[x=0.25 \cos \left(\frac{\pi}{8}\right) t\]What is the displacement of the object after 2.0 \mathrm{~s} ?

Under what conditions does the addition of two simple harmonic motions produce resultant which is also simple harmonic?

Does frequency depend on amplitude for harmonic oscillators?

In relation to SHM explain the equation:(i) y=A \sin (\omega t+\varphi)