for a) why is the moment of inertia of the body taken into account in the total when the body of the cart isnt rotating? for c) Wouldnt the total kinetic energy be (translational KE)+(rotational KE)?
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for a) why is the moment of inertia of the body taken into account in the total when the body of the cart isnt rotating?
for c) Wouldnt the total kinetic energy be (translational KE)+(rotational KE)?
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- A 200kg disk with a radius of 4.0m is rotating clockwise about the +y axis. A 50kg person is sitting 2.5m from the rotational axis. a) What is the total moment of inertia of the disk and person together? b) What is the initial angular momentum Li of the system? c) A constant 30.0N force is applied to the edge of the disk with an angle of 60° with respect to the moment arm. (+y out of page in top down view) What is the torque on the system? d) What is the final angular momentum if the torque is applied for 2s?A bowler throws a bowling ball of radius R = 11 cm along a lane. The ball (the figure) slides on the lane with initial speed vcom.O friction between the ball and the lane is 0.29. The kinetic frictional force 7k acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of = 8.4 m/s and initial angular speed wo 0. The coefficient of kinetic the ball. When speed vcom has decreased enough and angular speed p has increased enough, the ball stops sliding and then rolls smoothly. During the sliding, what are the ball's (a) linear acceleration and (b) angular acceleration? (c) How long does the ball slide? (d) How far does the ball slide? (e) What is the linear speed of the ball when smooth rolling begins? Note that the clockwise direction is taken as negative. Vcotm (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number UnitsA turnable with a moment of interia of 0.012 kg m² rotates freely at 2.0 rad/s. A circular disk of mass 200 g and diameter 30 cm, and initially not råtating, slips down a spindle and land on the turnable. (A) Find the new angular speed. (B.) Whot is the change in kinetic energy?
- "The edge of the disk has a constant tangential speed. This means that the tangential speed of the block will increase the farther away it is placed from the center of the disk." I don't understnd why this is trueA cyclist is traveling at 32 km h-1. Calculate the angular velocity in RPM of the front wheel of the bicycle given that the diameter of the wheel is 700mm.12. A child and her father are playing on a spinning merry-go-round (a solid, horizontal disk). The disk is rotating at 0.400 rad/s. The disk as a mass of 200 kg and a radius of 5.00 m. The daughter (1) has a mass of 25.0 kg and is 3.00- m from the center of the disk. The father (2) has a mass of 60.0 kg and is 2.00-m from the center of the disk. a) The father moves to the outer edge of the disk, while the daughter moves inward until she is 1.00 m from the center. What is the new angular speed of the disk?
- Thank you. Shouldn't rotational kinetic energy be used, though, for part (b)?Integrated ConceptsWhen kicking a football, the kicker rotates his leg about the hip joint. (a) If the velocity of the tip of the kicker’s shoe is 35.0 m/s and the hip joint is 1.05 m from the tip of the shoe, what is the shoe tip’s angular velocity? (b) The shoe is in contact with the initially stationary 0.500 kg football for 20.0 ms. What average force is exerted on the football to give it a velocity of 20.0 m/s? (c) Find the maximum range of the football, neglecting air resistance.(a) What is the final velocity, in m/s, of a hoop that rolls without slipping down a 7.10 m high hill, starting from rest? m/s (b) What would be the final velocity, in m/s, if a disk of the same mass and radius as the hoop rolled down the hill? m/s