A gymnast swings on the high bar as shown in the figure. Starting from rest directly over the bar, he swings around the bar while keeping his arms and legs outstretched. Treating the gymnast as though his entire mass were concentrated at a point y=0.87 m from the bar, determine his speed as he passes under the bar at position A. Note that you do not need know his mass to solve this problem. It is asking for the units in m/s
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.
A gymnast swings on the high bar as shown in the figure. Starting from rest directly over the bar, he swings around the bar while keeping his arms and legs outstretched. Treating the gymnast as though his entire mass were concentrated at a point y=0.87 m from the bar, determine his speed as he passes under the bar at position A. Note that you do not need know his mass to solve this problem.
It is asking for the units in m/s
![The image depicts a gymnast mid-routine on a vertical apparatus. The gymnast is in a handstand position, and the image highlights various components related to their motion.
Key Elements:
- The gymnast's body forms a straight line, extending from the hands on the apparatus upwards.
- A vertical pole supports the gymnast, secured at the base with additional bracing for stability.
- A circular dashed line surrounds the gymnast, indicating a path of motion or rotation.
- The distance from the gymnast’s hands to the center of the circle is marked as “y”.
- Points are marked on the apparatus as "A," indicating key positions possibly related to pivot points or forces acting on the system.
This diagram is useful for understanding rotational dynamics, balance, and biomechanics in gymnastics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43e3f3fb-75eb-406d-b3e8-3de31bbbf077%2Fae7ea310-1ffc-4272-950d-f4e3f6b5d9c0%2Ftw4pqi.jpeg&w=3840&q=75)
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