Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.7 kg at (0.0, 3.3) m, and 4.0 kg at (3.5, 0.0) m. Where should a fourth object of 9.2 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? x =  _______m y =  _______m

A 10cm uniform rod has a mass of 100g. Attached at its ends are 200g and 100g rubber balls. Where is the center of gravity of this rod-rubber balls system?

The center of gravity of a 3.00 {\rm kg} irregular object You need to move the center of gravity 2.00 {\rm cm} to the left by gluing on a 2.00 \rm kg mass, which will then be considered as part of the object.   Where should the center of gravity of this additional mass be located? Express your answer with the appropriate units.

A 93 gm meter stick has two objects attached to it, one of 177 gm at the 15 cm mark and the other of 179 gm at the 81 cm mark. At what mark on the meter stick is the center of gravity of the system?

To get up on the roof, a person (mass 62.0 kg) places a 6.80 m aluminum ladder (mass 11.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its base. (Enter the magnitudes.)   normal reaction force  friction force

The forearm-hand complex weights 51N, and the center of mass is 0.17 m from the elbow joint. The person is holding a large wheel of cheese that weighs 98N. The center of mass of the cheese is 0.34 m from the elbow joint. The moment arm of the elbow flexors is estimated to be 0.03m from the elbow. The relative elbow angle is (angle between the humerus and the forearm) is 60°. What force must be exerted by the elbow flexors to keep the forearm in this static position (in N)?

6 cm 0 2 cm 2 cm 4 cm 2 cm 6 cm Determine the coordinate of the center of gravity of the object as shown in the figure below.

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.5 kg at (0.0, 3.9) m, and 4.0 kg at (3.2, 0.0) m. Where should a fourth object of 9.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? x =   y =

A thin washer of internal radius 5 cm and external radius of 12 cm carries a load of 15mC distributed evenly on its surface located on the Y axis. A small 7.5g sphere with a load of 3mC is placed exactly in the center. A small push is given along the axis of the washer (the x-axis) to remove it from rest. How fast will the sphere be moving when it is 2m from the center of the washer? (hint, ignore gravity and energy is conserved)

A 84 gm meter stick has two objects attached to it, one of 92 gm at the 24 cm mark and the other of 183 gm at the 88 cm mark. At what mark on the meter stick is the center of gravity of the system?