1. An object is attached to a 1-m string and completes 5 rotations in 1 second. Find the (a) tangential velocity, (b)angular velocity of the object and (c) angular acceleration.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
1. An object is attached to a 1-m string and completes 5 rotations in 1 second. Find the (a)
tangential velocity, (b)
2. An object moving in uniform motion has a centripetal acceleration of 12m/s2. If the radius of
the motion is 3cm, what is the frequency of the motion?
3. The angular position of a particle is given by the equation θ(t) = sin 3t+ 3t^2
. Determine the
angular velocity and angular acceleration as a function of time. What is the angular position,
angular velocity, and angular acceleration of the particle at the start if motion?
4. Calculate the centripetal acceleration for an object on the surface of radius 4000 km and, and the day is equal to 120 000 seconds.
5. A particle is moving along a circular path of radius 1.5 m and has an angular velocity of 10 /s.
What is the particle’s radial acceleration? What is the particle’s tangential velocity?
6. An object sweeps out a central angle of π/2 radians in 0.50. seconds as it moves along a circle
of radius 2 m. Find its linear and angular speed over that time period.
7. An object travels a distance of 30 ft in 3 seconds as it moves along a path of radius 3ft.
calculate for the linear and angular speed over the time period.
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