A ball is rolling to the right. Its center of mass is moving a speed of v. B Relative to the center of the ball, which location has the largest linear speed? Point A at the back of the ball. Point B at the top of the ball. Point C at the front of the ball. Point D at the bottom of the ball. All points have the same speed relative to the center of the ball.
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- If the skater has the same speed of rotation during the following spin positions, what is the correct ranking of their angular momentum? KOSE KO KOSE KO KOS KOSÉ #1 #2 #3 L#1=L#3L#2>L#3 L#1=L#2=L#3 OL#1A skateboard of mass m rests on the top of a hemispheric dome of radius R. After giving the skateboard a small kick, imparting an initial speed of vo, it begins rolling down the dome. Let the angle 0 indicate the location of the skateboard as it rolls down the surface of the dome. R 1. Eventually, the skateboard will lose contact with the dome. Given m, R, vo, and g, find the angle 0. at which the skateboard loses contact. Express your answer symbolically (i.e. without numbers). Check your work. Suppose you choose m = 1.5 kg, vo = g = 9.81 m/s. In this case, your answer should evaluate to 0. = 34.2°. 4.5 m/s, R = 4.3 m, and 2. Given m, R, and g, determine the range of speeds for which it is impossible to remain in contact with the wall at all.Two solid spheres of radius R and mass m are initially separated by a distance d such that the two centres of mass are separated by d+3R as shown below. The spheres are initially at rest, but the gravitational force accelerates them towards each other until they collide.a) Calculate the initial mechanical energy of the system.b) Calculate the gravitational potential energy of the system at the moment they collide.c) Derive an expression for v. State carefully what physical law you are applying.d) Show that, in the limit d >> R, the velocity v is independent of d.A 7 meter long stick is suspended from two strings. The stick has a mass of 17kg that is uniformily distributed. A 9kg dog is sitting 0.7m from the left end of the stick. Where is the center of mass? How do you know?Use g = 10 m/s/s in the following problems. A). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark and hang 100 grams at the 40 cm mark. How much mass must you hang at the 90 cm mark to balance the system? B). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark, hang 100 grams at the 40 cm mark and hang 200 grams at the 30 cm mark. How much mass must you hang at the 90 cm mark to balance the system?A uniform rod of length 0.8 m and mass 2.2 kg, has two point masses at each end. The point mass on the left end has a mass 1.5 kg, and the one on the right end has a mass 2.5 kg. Calculate the location of the center of mass of this system in terms of the distance from the left end.