The 3m long uniform plank is supported by a fulcrum at the midpoint. Where a 45kg student should must be from the midpoint to be able to balance the plank?

A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 140-N rod as indicated in the figure below. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.0° T ICE CREAM SHOP (a) Find the tension T in the cable. (Give the magnitude of the tension.) N (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component N vertical component N

Two children of mass 21 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 2 m, at what distance from the pivot point is the small child sitting in order to maintain the balance? m

A 60 kg uniform board 2.4 m long is supported by a pivot d=80 cm from the left end. How far from the left end should a 38 kg child sit so that the board is balanced?