54 cm 76 cm FIGURE P8.67

A meter stick is supported by a knife-edge at the 50-cm mark. You hang masses of 0.40 kg and 0.60 kg from the 20-cm and 80-cm marks, respectively. Where should you hang a third mass of 0.30 kg to keep the stick balanced?

A hungry bear weighing 735 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see the figure below). The beam is uniform, weighs 200 N, and is 5.50 m long, and it is supported by a wire at an angle of e = 60.0°. The basket weighs 80.0 N. Goodies (a) Draw a force diagram for the beam. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) When the bear is at x = 1.20 m, find the tension in the wire supporting the beam. When the bear is at x = 1.20 m, find the components of the force exerted by the wall on the left end of the beam. (Assume the positive +x direction is to the right and the positive +y direction is upward. Include the sign of the value in your answer.) F = (c) If the wire can withstand a maximum tension of 875 N, what is the maximum distance the bear can walk before the wire breaks?

A taho vendor carries a 1.5 m long light plank over his shoulder. At the ends of the plank are two buckets weighing 40 N and 60 N respectively. (a) Find the value of force F exerted by his shoulder. Neglect the weight of the plank. ( b) Where should he support the plank for it to be balanced horizontally

Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 12.5 N at a distance of 0.750 m from the hinges, and the second child pushes at a distance of 0.550 m. What force must the second child exert to keep the door from moving? (assume friction is negligible)

A 68 kg man is in the prone position while during pushups. His feet and hands are 95 cm and 42 cm away respectively from his center of mass. What is the normal force exerted by on each (a) hand and (b) foot?

A ladder rests against a frictionless wall. It has a mass of 40 kg, a length of 6.4 m, and makes an angle of 56° with the ground. Find the horizontal and vertical force components exerted by the ground on the bottom of the ladder if a standard man stands on the ladder 4 m from the ground. (Assume the mass of the standard man is 70 kg. Enter the magnitudes in newtons.)