4) A mass of 0.5 kg is connected to a massless spring with a force constant of k= 50 N/m. The system is oscillating on a frictionless horizontal surface. If the amplitude of the oscillations is 2 cm, the total energy of the system is? a) 0.01 d) 0.3 b) 0.1 e)0.2 d) 0.15 c) 0.5 5) A mass of 0.3 kg. is connected to a massless spring with a force constant k = 20 N/m. The system oscillates horizontally on a frictionless surface with an amplitude of 4 cm. What is the velocity of the mass when it is 2 cm from its equilibrium position? a) 0.28 b) 0.08 c) 0.52 e) 0.34

Q: OK, once again we have a pendulum, this time of length 1.92 m, which you release from rest at an…

A: Given data: Length of the pendulum, L=1.92 m    θ1=58.3 ∘  θ2=11.7 ∘

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.