Problem 3: A mass m = 3.8 kg is at the end of a horizontal spring of spring constant k = 330 N/m on a frictionless horizontal surface. The block is pulled, stretching the spring a distance A = 5.5 cm from equilibrium, and released from rest. Part (a) Write an equation for the angular frequency o of the oscillation. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, A, d, g, h, j, k, m, P, S, t, v Part (b) Calculate the angular frequency o of the oscillation in rad/seconds. Numeric : A numeric value is expected and not an expression. 9,32 Part (c) Write an equation for the period T of the oscillations. Expression: IT T= Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, A, d, g, h, j, k, m, P, S, t, v Part (d) Calculate the period T of the oscillations in seconds. Numeric : A numeric value is expected and not an expression. T = -674 Part (e) Write an equation for the maximum speed vmax of the block. Expression : Vmax Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, A, d, g, h, j, k, m, P, S, t, v Part (f) Write an equation for the maximum acceleration a,mar of the block. Expression : "max = Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, A, d, g, h, j, k, m, P, S, t, v
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.
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