The water level in a tank is 20 m above the ground. a hose is connected to the bottom of the tank, and the nozzle at the end of
1 answer:
You might be interested in
Answer:
Explanation:
<u>Center of Gravity </u>
It refers to a point where all the forces of gravity of a body make a zero total torque. To find the solution we use the fact that the net force acting on the system boat-man is in every moment equal to zero. It's assured by the first Newton’s law, the center of gravity is at rest or in uniform motion in both moments. From an external viewer's point of view, the center of gravity remains unchanged. The formula to compute it is shown below
Originally, the man sits on the stern of the boat. His weight is applied at a distance xm=4.9 m from the pier (assumed as x=0). The boat is assumed to have a uniformly distributed mass applied at its center, i.e. at xb = 4.9 / 2 = 2.45 m. The center of gravity is located originally at
When the man walks to the prow, the boat moves x = 1.2 m from the pier, so its center is located at a distance
The man is located at
The center of gravity is computed now as
Both centers of gravity are equal, thus
Simplifying
Rearranging
Thus