You hold up a long pole with a length of 4.0m and a weight of 108N so that it makes an angle of 75° with respect to the horizontal (15° with respect to vertical). In order to do this, you exert forces with both of your hands. One hand is at the bottom of the pole and exerts both horizontal and vertical forces. Your other hand is 0.75m up along the pole as measured from the bottom end of the pole and exerts a purely horizontal force (no vertical component). If the pole is in equilibrium, what are the forces that each of your hands exerts? Be sure to give both components for the force your bottom hand exerts. Include directions for each force component. This is all the information provided, there is no diagram.
You hold up a long pole with a length of 4.0m and a weight of 108N so that it makes an angle of 75° with respect to the horizontal (15° with respect to vertical). In order to do this, you exert forces with both of your hands. One hand is at the bottom of the pole and exerts both horizontal and vertical forces. Your other hand is 0.75m up along the pole as measured from the bottom end of the pole and exerts a purely horizontal force (no vertical component). If the pole is in equilibrium, what are the forces that each of your hands exerts? Be sure to give both components for the force your bottom hand exerts. Include directions for each force component.
Given:
The length of the pole is 4.0 m.
The weight of the pole is 108 N.
The angle that the pole makes with the horizontal is .
The distance of the other end from the bottom is 0.75 m.
Introduction:
When all the forces that act upon an object are balanced, then the object is said to be in a state of equilibrium. The forces are considered to be balanced if the rightward forces are balanced by the leftward forces and the upward forces are balanced by the downward forces. This however does not necessarily mean that all the forces are equal to each other.
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