The drawing shows a human figure approximately in a sitting position. For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, neck, and head (total mass = 44.7 kg) with a center of mass located on the y axis at a point 0.353 m above the origin, (2) the upper legs (mass = 18.5 kg) with a center of mass located on the x axis at a point 0.157 m to the right of the origin, and (3) the lower legs and feet (total mass = 10.1 kg) with a center of mass located 0.490 to the right of and 0.261 m below the origin. Find the (a) x coordinate and (b) the y coordinate of the center of mass of the human figure. Note that the mass of the arms and hands (approximately 12% of the whole-body mass) has been ignored to simplify the drawing.

Jordan is riding a bike on a boat. (Why? No idea.) The boat is on a lake with stationary water.  Jordan has a mass of 79 kg.  The boat has a mass of 123 kg.  Jordan's bicycle has a mass of 10.5 kg.  Jordan pedals from one end of the boat to the other, which is a distance of 11.7 meters relative to the boat.  Assuming the boat is free to move with negligible friction on the surface of the water, how far (in meters) does the boat move relative to the water (or relative to a stationary object on the shore)?  (This is asking for a distance, not a change in position, so the answer is a positive number.)

A rod of length 24.00 cm has linear density (mass per length) given by 2 = 50.0 + 19.5x where x is the distance from one end, and A is measured in grams/meter. (a) What is its mass? (b) How far from the x = 0 end is its center of mass?

F A B D three blocks are in contact with each other and their masses are: m (A) = 44.4 kg, m (B) = 34.4 kg, m (C) = 24.4 kg, and m (D) = 14.4 kg. Block A is being pushed by a horizontal F = 500 N as shown. All the four boxes are moving together. The coefficient of kinetic friction between block and floor is 0.050. What is the magnitude of the force that block C exerts on block D? (q1245) a) 061.2 N b) 0500.0 N c) 054.2 N d) 0442.4 N

A rod of length 23.00 cm has linear density (mass per length) given by 1 = 50.0 + 17.5x where x is the distance from one end, and 2 is measured in grams/meter. (a) What is its mass? (b) How far from the x = 0 end is its center of mass? m

The figure shows a composite slab with dimensions d₁ = 11.9 cm, d₂ = 2.94 cm, and d3 = 12.8 cm. Half the slab consists of aluminum (density = 2.70 g/cm³) and half consists of iron (density = 7.85 g/cm³). What are (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the slab's center of mass? (a) Number (b) Number (c) Number dy Iron Units Units Units 2d₁ -Midpoint Aluminum dy 11

ent Attempt in Progress In the figure, three uniform thin rods, each of length L = 48.0 cm, form an inverted U. The vertical rods each have a mass of 19.0 g; the horizontal rod has a mass of 57.0 g. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number (b) Number Units Units X

The figure shows a three-particle system, with masses m₁ = 4.8 kg, m₂ = 5.0 kg, and m3 = 8.3 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number i 1.3 (b) Number i 1.5 y (m) Units Units 1 m m INS 2 №² 3 x (m)

The linear density of a thin rod is given by p = cx, where c is a constant and x is the distance measured from one end. If the rod is of length b, find the center of mass.

A 1.29 kg particle has the xy coordinates (-1.25 m, 0.116 m), and a 5.32 kg particle has the xy coordinates (0.300 m, -0.345 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 2.97 kg particle such that the center of mass of the three-particle system has the coordinates (-0.308 m, -0.473 m)?