#4. A block of mass 450 gm attached to two springs is pulled to the right by 10 cm from its equilibrium position, and the spring-block system then begins to oscillate on a frictionless surface, as shown in the figure below. The spring constant of each spring is 650 N/m. (a) What is the speed of the block as it passes through equilibrium? (b) Find the angular frequency of the motion in rotations per minute. (c) If the two springs are replaced by one spring so that the angular frequency becomes half the initial value, find the spring constant of the spring.
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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