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- 3. A playground has a small merry-go-round with radius 1.00 m. It's moment of inertia is 125 kgm2. A small child with mass 35.0 kg runs at a velocity of 2.50 m/s along a path tangent to the outer rim of the stationary merry-go-round and jumps on. Calculate (a) the magnitude of the angular momentum of the child about the axis of rotation of the merry-go-round, and (b) the angular speed of the combined merry-go-round plus child after the child jumped on. You may assume the child is a point mass.Serious bicyclists say that if you reduce the weight of a bike, it is more effective if you do so in the wheels rather than in the frame. Why would reducing weight in the wheels make it easier on the bicyclist than reducing the same amount in the frame?Don't use chat gpt It Chatgpt means downvote
- A 2.00-kg block and a 10.00-kg block are connected by a light string over a pulley. The system is initially held at rest and then the blocks are released. If the acceleration of the blocks is measured to be 0.80 m/s² and the table is assumed to be frictionless, determine the 5. moment of inertia of the wheel. Assume that the wheel has a radius of 10.0 cm. 10.00 kg 2.00 kgTo get up on the roof, a person (mass 70.0 kg) places a 6.00 m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against the plastic rain gutter which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. What are the magnitudes of the forces on the ladder at the top and bottom?Four point masses, m¡ = 2 kg, m2 = 3 kg, m3 = 4 kg and m4 5 kg are on the x axis as shown in the figure below. mi m2 m3 1.0 2.0 3.0 4.0 x (m) Find the moment of inertia of the above system about an axis of rotation that is perpendicular to the page and passes through x = 4 m. Find the moment of inertia of the above system about an axis of rotation that is perpendicular to the page and passes through x = 3 m.
- To kick a football, the kicker rotates his leg about the hip joint. If the velocity of the the kicker's shoe is 37.5 m/s and the hip joint is 1.21 m from the tip of the shoe, what is the shoe tip's angular velocity? The shoe is in contact with the initially nearly stationary 0.500 kg football for 20.0 ms. What average force is exerted on the football to give it a velocity of 19.7 m/s? Find the maximum range of the football, neglecting air resistance.A student stands on a platform that is free to rotate and holds two dumbbells, each at a distance of 65 cm from his central axis. Another student gives him a push and starts the system of student, dumbbells, and platform rotating at 0.50 rev/s. The student on the platform then pulls the dumbbells in close to his chest so that they are each 22 cm from his central axis. Each dumbbell has a mass of 1.00 kg and the rotational inertia of the student, platform, and dumbbells is initially 2.40 kg-m². Model each arm as a uniform rod of mass 3.00 kg with one end at the central axis; the length of the arm is initially 65 cm and then is reduced to 22 cm. What is his new rate of rotation? HH 65 cm 65 cm M 22 cmTo 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
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