1. A 0.50 kg puck rests on a level air table and is connected by a light thread passing through a hole in the table to support a hanging mass of 3.0 kg. A stable orbit is achieved when the puck is sent into a circular path of radius 0.15 m around the hole. a) Neglecting friction at the edge of the hole, calculate the period of revolution of the puck in its orbit. (hint: first do a f.b.d. of the hanging mass to find tension T in thread)
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. A 0.50 kg puck rests on a level air table and is connected by a light thread passing through a hole in the table to support a hanging mass of 3.0 kg. A stable orbit is achieved when the puck is sent into a circular path of radius 0.15 m around the hole.
a) Neglecting friction at the edge of the hole, calculate the period of revolution of the puck in its orbit. (hint: first do a f.b.d. of the hanging mass to find tension T in thread)
b) Suppose that the speed of the puck in its orbit is now doubled, while the radius remains fixed. What central mass will be needed to achieve a stable orbit?
1. A 0.50 kg puck rests on a level air table and is connected by a light thread passing through a hole in the table to support a hanging mass of 3.0 kg. A stable orbit is achieved when the puck is sent into a circular path of radius 0.15 m around the hole.
a) Neglecting friction at the edge of the hole, calculate the period of revolution of the puck in its orbit. (hint: first do a f.b.d. of the hanging mass to find tension T in thread)
b) Suppose that the speed of the puck in its orbit is now doubled, while the radius remains fixed. What central mass will be needed to achieve a stable orbit?
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