Problem 14: A rotating platform of radius R = 4.2 cm is initially at rest. It then begins to move, such that a point on its edge experiences a tangential acceleration of at = 5.5 cm/s2. Part (a) Write an expression (using variables) that gives the radial acceleration on the edge of the platform as a function of time. Part (b) Write an expression (using variables) for the time at which the magnitudes of the radial and tangential accelerations at
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.
Problem 14: A rotating platform of radius R = 4.2 cm is initially at rest. It then begins to move, such that a point on its edge experiences a tangential acceleration of at = 5.5 cm/s2.
Part (a) Write an expression (using variables) that gives the radial acceleration on the edge of the platform as a function of time.
Part (b) Write an expression (using variables) for the time at which the magnitudes of the radial and tangential accelerations at the edge will be equal.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
