Calculating Tension Force on Diving Board with Sally's Weight | Helpful Tips

[rudeted]

Hey guys, question:

Sally is standing on a diving board. Her weight is 50 kg. The diving board is fastened to a bracket with bolts A and B, and the bracket is fastened to the ground with bolts C and D.

Estimate the force of the bolts that are in tension (A and C) when sally is standing still..

Help please?

 

[PhanthomJay]

Hi, Rudeted,

Your problem statement is incomplete because you don't indicate any dimensions, like the length of the diving board and the bolt spacings. Please show what they are, AND also you must show some attempt at your work before we can be of further assistance.

 

[Moetasim]

Hi there,

To calculate the tension force on bolts A and C, we need to consider the forces acting on the diving board and Sally. The force of gravity acting on Sally can be calculated by multiplying her weight (50 kg) by the acceleration due to gravity (9.8 m/s^2), which gives us a force of 490 N. This force is acting downwards on the diving board.

In order for the diving board to remain in equilibrium, there must be an equal and opposite force acting upwards to counteract the force of gravity. This force is called the reaction force and it is provided by the bolts A and C. Since the diving board is fastened to the bracket at these points, the tension force on bolts A and C will be equal to the reaction force.

To estimate the tension force, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. Since the diving board and Sally are not accelerating, the acceleration is 0 and therefore the tension force will also be 0. This means that bolts A and C are not experiencing any tension force when Sally is standing still on the diving board.

I hope this helps! If you have any further questions, please let me know.