A wheeled cart of mass M is attached to the wall by a spring of spring constant k, as illustrated. The cart is pulled to the left from its equilibrium position, stretching the spring, and then it is released. a) At what point is the magnitude of the acceleration of the cart at its maximum? When the cart is halfway back to its equilibrium position. When the cart arrives back at its equilibrium position. The instant after it is released. The acceleration is constant. b) The cart passes its equilibrium position and starts compressing the spring as it continues to move to the right. When it reaches its point of maximum compression of the spring and momentarily comes to rest, what is the direction of its acceleration? To the right, to the left, or The instantaneous acceleration is zero.
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 wheeled cart of mass M is attached to the wall by a spring of spring constant k, as illustrated. The cart is pulled to the left from its equilibrium position, stretching the spring, and then it is released.
a) At what point is the magnitude of the acceleration of the cart at its maximum?
| When the cart is halfway back to its equilibrium position. |
| When the cart arrives back at its equilibrium position. |
| The instant after it is released. |
| The acceleration is constant. |
b) The cart passes its equilibrium position and starts compressing the spring as it continues to move to the right. When it reaches its point of maximum compression of the spring and momentarily comes to rest, what is the direction of its acceleration?
To the right, to the left, or The instantaneous acceleration is zero.
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