3. One end of a massless spring is attached to a wall & another end is attached to a block of mass m= 20 g (as shown in Fig. 2). When the block is stretched horizontally to a distance 5 cm from its rest position, the force acting on the block is 10 N. m Fig. 2 (a) ) Calculate the spring constant. (b) Now consider one end of the same spring system is attached to the ceiling. Take the hanging end point of the spring as reference to the gravitational potential. When the block is attached to the hanging end point of the spring, it extends a distance d. Calculate the value of d. Also calculate the block's total potential energy at this position. (c) Calculate the time period & angular frequency for both the vertical and the horizontal oscillations.
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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