Question

Point A

Support
3.0m
2.5m
Figure 5
Weight of girl = 600 N
Weight of diving board = 800 N

Calculate the total clockwise moment of the weight of the diving board and the weight of the girl at about Point A. Give the unit.
Use the correct equation from the Physics Equation Sheet.

Answer 1

Answer: The total clockwise moment of the weight of the diving board and the weight of the girl at about Point A can be calculated using the equation:

moment = force x distance

In this case, the force is the weight of the diving board (800 N) and the weight of the girl (600 N) and the distance is the distance from Point A to the support (2.5m).

So the total clockwise moment is:

moment = (800 N + 600 N) x 2.5 m = 1400 N x 2.5 m = 3500 Nm

The unit for moment is Newton-meter (Nm).

It's worth noting that in this problem, the clockwise moment is calculated by considering the force and the distance in the same direction, and the moment is positive, if the force is acting in a clockwise direction.

Step-by-step explanation:

Answer 2

The total clockwise moment about Point A, from the weight of the diving board and the girl, is calculated by multiplying their respective forces by their distances from the pivot and then summing. The total is 3000 Nm.

Step-by-step explanation:

Calculation of Total Clockwise Moment

To calculate the total clockwise moment of the weight of the diving board and the girl about Point A, we use the equation for moment:

Moment = Force × Perpendicular Distance from Pivot

The diving board exerts a downward force of 800 N at its center of gravity, which is presumably halfway along its length, at a distance of 1.5 m from Point A. So, the moment produced by the diving board is:

Moment (diving board) = 800 N × 1.5 m = 1200 Nm (clockwise)

The girl exerts a force of 600 N at a distance of 3.0 m from Point A, thus her contribution to the moment is:

Moment (girl) = 600 N × 3.0 m = 1800 Nm (clockwise)

The total clockwise moment is the sum of the moments from both the diving board and the girl.

Total Clockwise Moment = Moment (diving board) + Moment (girl)

Total Clockwise Moment = 1200 Nm + 1800 Nm = 3000 Nm

The unit for moment in this context is Newton-meters (Nm).