A diving board length = 6.00 m that weighs 210 N is supported by two pillars. One pillar is at the left end of the diving board, as shown below; the other is distance d = 1.60 m away.Find the magnitude of the force exerted by the left pillar when a 90.0 kg diver stands at the far end of the board. Find the magnitude of the force exerted by the left pillar when a 90.0 diver stands at the far end of the board. Find the magnitude of the force exerted by the right pillar when a 90.0 diver stands at the far end of the board.

To find the magnitudes of the forces exerted by the left and right pillars when a diver stands at the far end of the diving board, we need to consider the equilibrium of forces.

First, let's calculate the weight of the diving board. The weight is equal to the mass multiplied by the acceleration due to gravity:

Weight of the diving board = mass × acceleration due to gravity
= 210 N

Next, let's consider the forces acting on the system when the diver stands at the far end of the diving board:

1. The weight of the diver acts downward at the far end of the board.
2. The weight of the diving board acts downward at its center of mass.
3. The force exerted by the left pillar acts upward at the left end of the board.
4. The force exerted by the right pillar acts upward at the right end of the board.

Since the system is in equilibrium, the sum of the forces in the vertical direction must be zero. Therefore,

Force exerted by left pillar + Force exerted by right pillar - weight of diver - weight of diving board = 0

Since the weight of the diving board is already known, and the weight of the diver can be calculated using the formula mentioned above, we can solve for the magnitudes of the forces exerted by the left and right pillars.

Magnitude of the force exerted by the left pillar = (weight of diver + weight of diving board) - magnitude of the force exerted by the right pillar

Similarly, the magnitude of the force exerted by the right pillar can be found by rearranging the equation:

Magnitude of the force exerted by the right pillar = (weight of diver + weight of diving board) - magnitude of the force exerted by the left pillar

By substituting the known values into these equations, you can find the magnitudes of the forces exerted by the left and right pillars when a 90.0 kg diver stands at the far end of the board.