A mass, m₁ = 8.00 kg, is on a 30.0° incline and it is attached to another mass, m₂ = 10.0 kg, on a 60.0° incline. They are attached with a massless rope over a pulley with a moment of inertia, I, and a radius of R = 0.250 m. There is no friction between the table and the blocks. Ignore air friction, too. We are given that my accelerates up the incline at a = 1.00 m/s². (a) Draw a free-body diagram for both masses and the extended free-body diagram for the pulley. (b) Determine T₁ and T₂. (c) Find the net torque acting on the pulley and (d) its moment of inertia.
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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