Fluctuating in a Circle A A one kg bead is restricted to a two meter radius vertical circle. When the bead rolls along the circular track, there is no resistance. At the top of the circle, at point "A," the bead travels at a speed of 10 m/s, and its total mechanical energy is assumed to remain constant as it travels around the circle. From A to B in a counterclockwise direction should take the bead around 0.62 seconds. 10 m/s 2 m 1 Important: when expressing vector directions, use the "conventional" angle notation of 0 degrees 0 minutes and 30 seconds. Find the mean speed (in meters per second) traveling from point "A" to point "B." (based on the 0.62 seconds mentioned in the description).

Determine the magnitude of the force that you need to exert on the end of the stick (perpendicular to it) so that the cylinder moves with a constant speed. Determine the work done by your hand on the stick while your hand makes one full turn around the axis. Determine the work done by the stick on the cylinder during the one full term around the axis.

Circular Motion A 1 Kg bead is confined to move on a vertical circle of radius 2 meters. There is no friction between the bead and the circular track. The bead has a speed of 10 m/s when at the top of the circle at point "A", and the total mechanical energy of the bead is assumed to be constant as it moves around the circle. Assume it takes the bead 0.62 seconds to go counter-clockwise from point "A" to point "B" each cycle. 10 m/s 2 m Previous A 30° Note: vector directions should be given as the "standard" angle with 0 ≤0 < 360 degrees Calculate the direction of the velocity of the bead at point "B". Enter the standard angle in degrees.

A 70 kg secret agent skis down a hill and grabs a 200 kg bag then flies off a 12 m high cliff. The hill can be considered a 1/4 of a circle with a radius of 20 m. The initial mechanical energy of the agent at the top of the hill is 14,560 J relative to the location of the bag.  his initial apparent weight is 2521 .4 N and initial velocity is 22.9 m/s D) how far from the base of the cliff does the agent land? Assume the resistance is negligible. E) Assume that the agent in his bag come to rest upon colliding with the ground at the base of the cliff. What is an impulse that he in the bag experiences? Estimate the resulting contact force on the agent. Discuss the likelihood of his living through the collision

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A 74 kg skier has a speed of 9.2 m/s at point A. She then encounters a 1.75 m deep dip in the snow's surface that has a circular cross section with a radius of curvature of 12 m. Note: You may ignore friction in this problem. a.) How large is the normal force exerted by the snow on the skier at point B? N b.) How much work is done by the normal force on the skier from point A to point B? J 1.75 m r = 12 m

Circular Motion A 1 Kg bead is confined to move on a vertical circle of radius 2 meters. There is no friction between the bead and the circular track. The bead has a speed of 10 m/s when at the top of the circle at point "A", and the total mechanical energy of the bead is assumed to be constant as it moves around the circle. Assume it takes the bead 0.62 seconds to go counter-clockwise from point "A" to point "B" each cycle. 10 m/s 2 m 30° Note: vector directions should be given as the "standard" angle with 0≤0 < 360 degrees Calculate the average speed (m/s) from "A" to "B" (based on the 0.62 seconds mentioned in the description).

A ball weighing 0.2kg rolls along the ground. It has a speed of 3 m/s eventually rolls up a hill. a). Calculate the total energy of the ball b). At its highest point on the hill, the ball as a height of 0.1m above the ground. Is energy conserved for the ball?

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Consider four "special positions" of the marble: (A) - the marble begins to fall (B) the cord begins to stretch (C) - the equilibrium position (D) the marble comes to a momentary stop as shown below. Assume that the zero level of the gravitational potential energy of the system "marble-Earth" is at the level of the table. 31 The marble reaches its maximum speed: at position B A Obetween positions A and B . Б at position C X C D Obetween positions B and C Oat position D Obetween positions C and D