T = 2πtr/V 5 = Δθε 1 rotation = 2π = 360° 9 V=Wr = 9.80 m/s² at/r = Δω/Δ+ A massive spiky metal sphere with mass m = 25.0 kg is connected to a massless chain. The chain is L = 0.750 m in length. The cuttlefish Pokémon is spinning the spiky metal sphere in circles. The Pokémon steadily increases the speed of the ball until the chain breaks at tension Tmax and speed Vmax. When the chain breaks, the chain makes angle ø = 63.5° with the vertical. 1. 20 points Determine Tmax and the speed Vmax at which the chain breaks. Known quantities are m, L, ø, g. Organize your work into the following labeled sections: a. Diagram/sketch a = √²/r (FBD of spiky metal ball infinitesimally before the chain breaks) b. Known/unknown quantities c. Equations (Includes Newton's 2nd law using known/unknown quantities) d. Calculation (Show final symbolic expressions before plugging in numbers) e. Answer 2. 5 points Sketch or explain the path that the spiky metal ball travels after the chain breaks. TERRACH shutterstoc www.shutterstock.com 950869

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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.