A chair that one person is sitting in and another is pushing horizontally from b

Question

A chair that one person is sitting in and another is pushing horizontally from behind, at a point near the top of the chair. The chair is not on wheels, all the chair's legs are on the floor (but the legs of the person in the chair are not), and it does not move. It is in static equilibrium. Consider this as a two-dimensional problem (ignore the side-to-side width of the chair). Take the x-axis to be along the direction of the push from behind, and the y-axis to be up. As you view the chair from the right side, take counterclockwise rotation to be positive. a) List all the forces acting on the chair. b) Which of these forces have positive x-component? c) Which of these forces have negative x-component? d) Do the horizontal forces seem to balance? e) Which of these forces have positive y-component? f) Which of these forces have negative y-component? g) Do the vertical forces seem to balance? h) Which of these forces have positive torque around the point where the front leg touches the floor? i) Which of these have negative torque around that point? j) Do the torques seem to balance? **please help will vote lifesaver!!!!!!***

Explanation / Answer

forces on chair = 1. force applied by pusherr 2. persons weight 2 friction force on the legs 3. normal reaction of ground on legs. b.the force applied by pusher. c. weight of person sitting, d. no the pushing force is more than the frictional force, hence the chair is moving forward. e. reaction force o the legs of chair f. the weight of the person g.vertical forces are balanced. h. the force applied by the pusher., the reaction forcces on the chairs legs. , the friction force on chairs legs. i . the weight of the person sitting. , j yes the torque is balanced

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