Final answer:
To determine the magnitudes of the forces on the ladder at the top and bottom, we can use the equations T + G = 0 and B + N + F = 0. By substituting the values for the different forces and solving the equations, we can find the magnitudes of the forces.
Step-by-step explanation:
To determine the magnitudes of the forces on the ladder at the top and bottom, we need to consider the forces acting on the ladder. At the top of the ladder, there is the force of gravity acting downwards and the force exerted by the plastic rain gutter. At the bottom of the ladder, there is the normal force exerted by the concrete pad and the force of friction. Since the ladder is in equilibrium, the sum of all the forces acting on it must be zero.
- The force at the top of the ladder (T) can be found using the equation T + G = 0, where G is the force of gravity. Since the force of gravity is equal to the weight of the ladder (m*g), where m is the mass of the ladder and g is the acceleration due to gravity, we can substitute the values and solve for T.
- The force at the bottom of the ladder (B) can be found using the equation B + N + F = 0, where N is the normal force and F is the force of friction. Similar to the top of the ladder, we can substitute the values for the forces of gravity, normal force, and force of friction and solve for B.
By solving these equations, we can find the magnitudes of the forces on the ladder at the top and bottom.