What is the distribution of forces on a swimming pool springboard?

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In summary, the conversation discusses a straight, horizontal swimming bath spring board of length 4m and weight 300N, freely hinged at A and resting on a roller at B. The directions of forces acting on A and B are shown and the magnitudes of these forces are calculated. The solution involves using the equation for torques with respect to A, but the inclusion of the force RA is questioned as it is not relevant to the torque calculation.
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bobby2000
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Homework Statement



The diagram (not included) shows a straight, horizontal swimming bath spring board of length 4m and weight 300N. It is freely hinged at A and rests on a roller at B where AB=1.6m. A boy of weight 400N standard at end C.
a) show directions of forces acting on A and B
b) calculate magnitudes of forces at A and at B

Homework Equations



A______________B______________C
AB= 1.6m
BC= 2.4m
AC= 4m

The Attempt at a Solution


Weight of board put at centre point (0.4m from B and 2m from C)
RA assigned as reaction force at A
RB assigned as reaction force at B

RA = 700-RB

RA+RB = 700N
(300x2)+(4x400)=RA+(RBx1.6)
2200=RA+(RBx1.6)
2200=700-RB+(RBx1.6)
1500=0.6RB
2500=RB

This figure for RB simply cannot be right and therefore really isn't helping me!
 
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  • #2
(300x2)+(4x400)=RA+(RBx1.6) ---> this is the equation for the torques with respect to A. Why did you include the force RA?

ehild
 
  • #3
I assumed RA was required for the anticlockwise moment? is it not?
 
  • #4
RA is force, not torque. What is the torque of RA with respect to A? ehild
 

What is a springboard?

A springboard is a flexible, diving board-like object used in competitive diving and gymnastics. It is typically made of fiberglass or aluminum and is designed to bend and launch the athlete into the air.

How does a springboard work?

A springboard works by storing potential energy when it is bent and then releasing that energy when the athlete jumps off of it. The bending of the springboard allows the athlete to gain height and momentum for their dive or routine.

How are springboards made?

Springboards are typically made of materials such as fiberglass or aluminum. The materials are shaped and molded into a curved design that can bend and flex. The boards are then coated with a non-slip surface for safety.

What are the different types of springboards?

There are two main types of springboards used in diving and gymnastics: the one-meter springboard and the three-meter springboard. The one-meter springboard is shorter and typically used for simpler dives, while the three-meter springboard is longer and used for more complex dives.

How do athletes train to use a springboard?

Athletes who use springboards train by practicing their dives and routines on the actual springboard. They also work on building strength and flexibility to ensure they can properly utilize the springboard's potential energy. Safety is also a key component of training, as athletes must learn how to land safely on the board to avoid injury.

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