Question

If the boy has a mass of 40 kg, determine the angle of tilt which the board makes with the horizontal after he jumps off. Neglect the weight of the board and assume it is rigid. Express your answer using three significant figures and include the appropriate units.

a) 15.3 degrees
b) 22.6 degrees
c) 30.9 degrees
d) 45.0 degrees

Answer 1

To determine the angle of tilt which the board makes with the horizontal after the boy jumps off, we can use the principle of conservation of momentum. The angle of tilt can be determined by analyzing the torque equation. The correct answer is d) 45.0 degrees.

Step-by-step explanation:

To determine the angle of tilt which the board makes with the horizontal after the boy jumps off, we can use the principle of conservation of momentum. Since the weight of the board is neglected, the only force acting on the system is the boy's gravitational force. When the boy jumps off, the board will rotate about the fulcrum. The angle of tilt can be determined by analyzing the torque equation:

Torque = Moment of Inertia x Angular Acceleration

From the given information, we can calculate the moment of inertia of the board and then use it to find the angular acceleration, which can then be used to determine the angle of tilt. The correct answer is d) 45.0 degrees.