You pull on a string with a horizontal force of magnitude Fyb = 56 N that is attached to a block of mass mb = 7.7 kg, then to the axle of a solid cylinder of mass mc = 4.4 kg and radius r = 0.4 m, then to a spring of spring constant k = 125 N/m. This is all done on an inclined plane where there is friction ( μs = 0.65 and μk = 0.31 ), and the incline angle is θ = 29 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. If the speed of the block and cylinder after you have pulled the block and cylinder 44 cm down the plane is 2.030 m/s, then how far have you pulled the block and cylinder when everything stops?
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.
You pull on a string with a horizontal force of magnitude Fyb = 56 N that is attached to a block of mass mb = 7.7 kg, then to the axle of a solid cylinder of mass mc = 4.4 kg and radius r = 0.4 m, then to a spring of spring constant k = 125 N/m. This is all done on an inclined plane where there is friction ( μs = 0.65 and μk = 0.31 ), and the incline angle is θ = 29 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. If the speed of the block and cylinder after you have pulled the block and cylinder 44 cm down the plane is 2.030 m/s, then how far have you pulled the block and cylinder when everything stops?
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