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, 4.6) m, and 4.0 kg at (3.2, 0.0) m. Where should a fourth object of 7.8 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

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.7) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 8.6 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? X = y = m Need Help? Read It Watch It

Determine the location of the sweet spot of the bat shown in the figure (Figure 1). The linear mass density of the bat is given roughly by (0.61+3.3x2)kg/m, where x is in meters measured from the end of the handle. The entire bat is 0.81 m long. The desired rotation point should be 5.0 cm from the end where the bat is held. [Hint: Where is the cm of the bat?]

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.9) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 9.0 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

5. Consider a frictionless ice ball with a radius R = 10 m. A box initially at rest begins to slip from the top of the ice ball, and follows the surface until it loses contact. Find the height (with the ground as the reference) of the box at the moment it leaves the surface of the ice ball. [Hint: on the verge of losing contact the normal force on the box from the ice ball becomes zero].

A bowling ball (which we can regard as a uniform sphere) has a mass of 4.54 kg and a diameter of 0.216 m. A baseball has a mass of 0.145 kg. If you connect these two balls with a lightweight rod, what must be the distance between the center of the bowling ball and the center of the baseball so that the system of the two balls and the rod will balance at the point where the rod touches the surface of the bowling ball?

A man in a gym is holding an 8.0-kg kettlebell at arm's length, a distance of 0.55 m from his shoulder joint. What is the torque about his shoulder joint due to the gravitational force on the kettlebell if his arm is held at 30° below the horizontal?

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.9 kg at (0.0, 3.3) m, and 4.0 kg at (3.5, 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 =           m y =           m

The mass and coordinates of three objects are given below: m, = 6.0 kg at (0.0, 0.0) m, m, = 1.4 kg at (0.0, 4.5) m, and m, = 4.0 kg at (2.0, 0.0) m. Determine where we should place a fourth object with a mass m, = 9.7 kg so that the center of gravity of the four-object arrangement will be at (o.0, 0.0) m. m y = m

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.6) m, and 4.0 kg at (3.4, 0.0) m. Where should a fourth object of 7.2 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? X = y = m Need Help? Read It Watch It