A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.30 ✕ 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. The block is pulled to a position xi = 5.75 cm to the right of equilibrium and released from rest. The left end of a horizontal spring of force constant k is attached to a vertical wall. The right end is attached to a block of mass m, which rests on a horizontal floor. The equilibrium position of the spring is labeled x = 0. The block has been moved to the right to a position labeled x = xi, so that the spring is stretched. (a) Find the the work required to stretch the spring. J (b) Find the speed the block has as it passes through equilibrium. 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 block of mass m = 2.00 kg is attached to a spring of force constant k = 4.30 ✕ 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. The block is pulled to a position xi = 5.75 cm to the right of equilibrium and released from rest.
J
(b) Find the speed the block has as it passes through equilibrium.
m/s
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