How do I calculate the maximum height of a pendulum swing?

In summary, a 1.5kg mass swinging on a 2.0m string at the lowest point with a tension of 20N will rise to a maximum height above the lowest point during its oscillation. To solve for this height, one must use the equation for the force on an object in uniform circular motion and consider the additional forces acting on the pendulum. Drawing a free body diagram can help visualize these forces.
  • #1
kenny521
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0

Homework Statement


A pendulum consists of a 1.5kg mass swinging at the end of a string of length 2.0m. At the lowest point in the swing the tension in the string is equal to 20N. To what maximum height above this lowest point will the mass rise during its oscillation?


Homework Equations


I'm not sure.

The Attempt at a Solution


Idk where to start.
 
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  • #2
kenny521 said:

Homework Statement


A pendulum consists of a 1.5kg mass swinging at the end of a string of length 2.0m. At the lowest point in the swing the tension in the string is equal to 20N. To what maximum height above this lowest point will the mass rise during its oscillation?


Homework Equations


I'm not sure.

The Attempt at a Solution


Idk where to start.

Start with the relevant equations. What is the equation that relates the force on an object that is in uniform circular motion? What is different about a pendulum -- what extra force(s) are in play?

Draw a free body diagram (FBD) for the mass at the bottom part of the swing...
 

1. What is a pendulum?

A pendulum is a weight suspended from a fixed point that can swing freely back and forth under the influence of gravity.

2. What factors affect the period of a pendulum?

The period of a pendulum is affected by the length of the pendulum, the weight of the pendulum's bob, and the acceleration due to gravity.

3. How does a pendulum demonstrate simple harmonic motion?

A pendulum demonstrates simple harmonic motion because its motion is periodic and can be described by a sine or cosine function. The restoring force of gravity causes the pendulum to oscillate back and forth in a regular pattern.

4. What is the relationship between the length of a pendulum and its period?

The length and period of a pendulum have an inverse relationship. This means that as the length of the pendulum increases, the period also increases, and vice versa. This relationship is described by the formula T = 2π√(L/g), where T is the period, L is the length, and g is the acceleration due to gravity.

5. How does the amplitude of a pendulum affect its period?

The amplitude (maximum displacement from the equilibrium position) of a pendulum does not affect its period. The period of a pendulum is only dependent on the length, weight, and acceleration due to gravity. However, larger amplitudes may cause the pendulum to lose energy faster due to air resistance, resulting in a slightly shorter period.

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