What is the Apparent Weight of a Pendulum on a Trapeze?

This is generally equal to the person's mass multiplied by the acceleration due to gravity. In summary, the apparent weight on a trapeze/pendulum can be determined by using the formula Fn= Fc + mg or Fn= mv^2 /r, but the reason for this is still unclear.
  • #1
katkinson
4
0

Homework Statement



I am trying to determine the apparent weight while on a trapeze/pendulum. So far, I have heard that the apparent weight is either: a. the Fnet of all vertical forces (aka Centripetal force) and b. it is the force of tension. I am not sure which it is.

Homework Equations


a. Fnet/Fn/Fc=mv^2/r=Ft-mg cos (theta)

b. Fnet/Fc=mv^2/r= Ft - mg cos (theta); Ft=Fc + mg
Ft=Fn
so: Fn= Fc + mg

FBD is attached

The Attempt at a Solution



The solution is either
Fn= Fc + mg
or
Fn= mv^2 /r

However, I don't know the reasons why either of these would be correct
 

Attachments

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  • #2
The apparent weight of a person is the force that the person exerts on the 'object' in contact with the person.
 

1. What is the Apparent Weight of a Pendulum?

The Apparent Weight of a Pendulum refers to the weight that is perceived by an observer when a pendulum is in motion. It is different from the actual weight of the pendulum due to the centripetal force acting on it.

2. How is the Apparent Weight of a Pendulum different from its actual weight?

The Apparent Weight of a Pendulum is different from its actual weight because of the centripetal force that acts on it. This force is responsible for keeping the pendulum in motion, and it creates the illusion of a decreased weight.

3. How is the Apparent Weight of a Pendulum calculated?

The Apparent Weight of a Pendulum can be calculated by subtracting the centripetal force from the actual weight of the pendulum. This can be represented by the equation: Apparent Weight = Actual Weight - Centripetal Force

4. What factors affect the Apparent Weight of a Pendulum?

The Apparent Weight of a Pendulum is affected by the length of the pendulum, the mass of the pendulum, and the speed at which it is swinging. The longer and heavier the pendulum, the more apparent weight it will have, while a faster swinging pendulum will have a lower apparent weight.

5. How is the Apparent Weight of a Pendulum used in real life?

The concept of Apparent Weight of a Pendulum is used in various fields, such as physics and engineering. It is also used in amusement park rides, where the swinging motion creates the illusion of decreased weight, making the ride more thrilling for the riders.

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