Problem 2: A ball of mass m = 2.0 kg is connected to 2 ropes. The two ropes are connected to a pol that is rotating at a constant angular speed w. The two ropes have an equal tension T. The rope on th bottom makes an angle of 60° with the pole and and the rope on the top makes an angle of 60° with th horizontal. The ball is going around in a circle at a constant speed v and a radius r = 0.87 m (unifor circular motion). (a) What is v, the speed of the ball? (b) What is T, the tension on each of the ropes? 60° 60 m 3

The motion of spinning a hula hoop around one's hips can be modeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is less than R, the radius of the hoop. Suppose Maria spins a hula hoop with a mass of 0.74 kg and a radius of 0.67 m around her waist. The rotation axis is perpendicular to the plane of the hoop, but approximately 0.45 m from the center of the hoop. (a) What is the rotational inertia of the hoop in this case? 0.45 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. kg. m² (b) If the hula hoop is rotating with an angular speed of 13.3 rad/s, what is its rotational kinetic energy? 0.74 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J

Asteroids X, Y, and Z have equal mass of 3.0 kg each. They orbit around a planet with M = 6.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale. с Z r Submit Answer S The three asteroids orbit in the same clockwise direction. The angular velocity of Y at n is .... that at i. The period of X is .... that of Y. The period of Y is that of Z. The angular velocity of Z at r is .... that at s. The angular momentum of X at s is .... that at e. The angular momentum of Y is .... that of Z. The angular velocity of Y at r is .... that of Z at r. Tries 0/20

An air puck of mass 0.30 kg is tied to a string and allowed to revolve in a circle of radius 1.3 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.5 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. (a) What is the tension in the string? N (b) What is the force causing the centripetal acceleration on the puck? (c) What is the speed of the puck? m/s Need Help? Read It

A 50.0-kg child stands at the rim of a merry-go-round of radius 3.00 m, rotating with an angular speed of 3.85 rad/s. (a) What is the child's centripetal acceleration? m/s (b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required? Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round? O Yes O No

An athlete swings a 3.30-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.880 m at an angular speed of 0.610 rev/s. (a) What is the tangential speed of the ball? m/s (b) What is its centripetal acceleration? m/s² (c) If the maximum tension the rope can withstand before breaking is 91 N, what is the maximum tangential speed the ball can have? m/s

A body of mass 2 kg is tied to a free end of a string of length 1.5 m and is revolved along a horizontal circle with the other end fixed. The body makes 300 r.p.m. calculate the linear velocity, centripetal acceleration and the force acting on it.

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You are swinging a 0.45 kg water balloon vertically. The distance from your shoulder (acting as the center of rotation) and the water balloon is about 0.70 m. You estimate the water balloon is traveling at 6.0 m/s. At the very bottom of the circular path, how much force is your hand holding the water balloon?

A 1200 kg car is driving in a circle with a radius of 10 m. If the car has a tangential velocity of 30 m/s, find the coefficient of kinetic friction between the tires and the road.