5-7. A block of mass M hangs from a spring having spring constant k = 12 N/m and oscillates up and down with simple harmonic motion. The time to make one complete cycle is 3.14 seconds, and the amplitude of the oscillation is A = 0.75 m. 5. What is the angular frequency of the oscillation? w=2st A2.0 radians/second B. 0.5 radians/second. C. 3.0 radians/second D. 1.0 radians/second E. 1.5 radians/second 6. What is the mass of the block? A. 1 kg B, 2 kg C.5 kg D. 4 kg E. 5 kg 7. What is the maximum speed of the block? A. 0.5 m/s B. 1.0 m/s C)1.5 m/s D. 2.0 m/s E. 2.5 m/s 2t 3.14 u = 312-12--75²= 3.375 mv²= 3.375 M k = 12 N/m A = 0.75 m ---equilibrium position -A -- 8. A 0.16 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 360 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the x-axis (horizontal). When the displacement is x = -0.037 m, the acceleration of the block is closest to: A. 85 m/s² B. 43 m/s² C. 64 m/s D. 270 m/s² E. 370 m/s 9. A 0.39 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 570 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the x-axis (horizontal). When the displacement is x = 0.057 m, the kinetic energy of the block is closest to: A. 0.90 J B. 0.84 J C. 0.95 J D. 1.0 J E. 1.1 J
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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