A mass hangs on the end of a massless rope. The pendulum is held horizontal and released from rest. When the mass reaches the bottom of its path it is moving at a speed v = 2.7 m/s and the tension in the rope is T = 19.9 N. 1) How long is the rope? 0.372 m Submit 2) What is the mass? 0.677 kg Submit 3) If the maximum mass that can be used before the rope breaks is mmax = 1.56 kg, what is the maximum tension the rope can withstand? (Assuming that the mass is still released from the horizontal.) 45.86 N Submit Now a peg is placed 4/5 of the way down the pendulum's path so that when the mass falls to its vertical position it hits and wraps around the peg. How fast is the mass moving when it is at the same vertical height as the peg (directly to the right of the peg)? 2.4 m/s Submit + 5) Return to the original mass. What is the tension in the string at the same vertical height as the peg (directly to the right of the peg)? N Submit
A mass hangs on the end of a massless rope. The pendulum is held horizontal and released from rest. When the mass reaches the bottom of its path it is moving at a speed v = 2.7 m/s and the tension in the rope is T = 19.9 N. 1) How long is the rope? 0.372 m Submit 2) What is the mass? 0.677 kg Submit 3) If the maximum mass that can be used before the rope breaks is mmax = 1.56 kg, what is the maximum tension the rope can withstand? (Assuming that the mass is still released from the horizontal.) 45.86 N Submit Now a peg is placed 4/5 of the way down the pendulum's path so that when the mass falls to its vertical position it hits and wraps around the peg. How fast is the mass moving when it is at the same vertical height as the peg (directly to the right of the peg)? 2.4 m/s Submit + 5) Return to the original mass. What is the tension in the string at the same vertical height as the peg (directly to the right of the peg)? N Submit
College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.
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Please do Q5 only, the rest are correct
Transcribed Image Text:A mass hangs on the end of a massless rope. The pendulum is held horizontal and
released from rest. When the mass reaches the bottom of its path it is moving at a
speed v = 2.7 m/s and the tension in the rope is T = 19.9 N.
1) How long is the rope?
0.372
m
Submit
2) What is the mass?
0.677
kg Submit
3) If the maximum mass that can be used before the rope breaks is mmax = 1.56 kg,
what is the maximum tension the rope can withstand? (Assuming that the mass is
still released from the horizontal.)
45.86
IN
Submit
Now a peg is placed 4/5 of the way down the pendulum's path so that when the mass
falls to its vertical position it hits and wraps around the peg.
How fast is the mass moving when it is at the same vertical height as the peg (directly
to the right of the peg)?
2.4
m/s Submit
5) Return to the original mass. What is the tension in the string at the same vertical
height as the peg (directly to the right of the peg)?
N Submit
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