What is the Maximum Height of a Pendulum Ball with Constant Wind Force?

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In summary, a pendulum is a weight suspended from a pivot point that swings back and forth due to gravity. A pendulum involving problem is a physics problem that demonstrates simple harmonic motion. Factors such as length, mass, angle, and gravity affect the motion of a pendulum. The period of a pendulum can be calculated using the formula T = 2π√(L/g). The length of a pendulum and its period are inversely proportional, as shown in the formula T = 2π√(L/g).
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emily27
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a ball having mass m is connected by a strong string of length L to a pivot point and held in place in a vertical position. a wind exerting constant force of magnitude F is blowing from left to right. if the ball is released from rest, show that the maximum height H it reaches, as measured from its initial height, is H = 2L/1 + (mg/F)^2

i am not sure where to start from.. please be specific and show your steps. thank you!
 
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Try resolving forces perpendicular to the string.
 

Related to What is the Maximum Height of a Pendulum Ball with Constant Wind Force?

What is a pendulum?

A pendulum is a weight suspended from a pivot point that is able to swing back and forth due to the force of gravity.

What is a pendulum involving problem?

A pendulum involving problem is a physics problem that involves the behavior and motion of a pendulum, often used to demonstrate principles of simple harmonic motion.

What factors affect the motion of a pendulum?

The factors that affect the motion of a pendulum include the length of the pendulum, the mass of the weight, the angle of swing, and the force of gravity.

How do you calculate the period of a pendulum?

The period of a pendulum can be calculated by using the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

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

The length of a pendulum and its period are inversely proportional, meaning that as the length of the pendulum increases, the period also increases. This relationship can be seen in the formula T = 2π√(L/g).

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