solid 0.6150 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.7350 m. What minimum translational speed ?minvmin must the ball have when it is a height H=1.111 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius ?R. Use g=9.810 m/s^2 for the

3. A telephone pole has been knocked over by the wind so that it makes an angle of 0 with the vertical. The wind has stopped blowing and the pole is to be cut down as shown. nail L cut Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of the pole stays attached to the base by the remaining part of the pole that was not cut (but the torque from the base on the tipping pole is negligible). There is a nail (of negligible mass) on the pole located a distance x. The length of the pole from the cut to the top is L. Remember that the moment of inertia of a stick of mass m and length L about its end is mL?.

R M A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle 0 = 30°. The sphere has mass M = 8 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and the plane is u = 0.64. What is the magnitude of the frictional force on the sphere? Ff =

page A golfers clubs' linear tangential velocity at contact with the ball on the tee was recorded as 35.6 m/s. Given the distance from the club head to the golfers centre of rotation as 1.35 m calculate the angular velocity (radians/s) of rotation at the point of contact to 2 decimal places. Answer: ere to search B R Bi 5 T 6 B H 9 Pa O Finish attempt P 6°C Light ra

For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha) where alpha = to the angular accleration. Qn. What is the difference in acceleration with slipping vs without slipping? Also, why is there no centripetal acceleration (towards the centroid of disk) when the disk is rolling without slippage?

2.) A spinning, flat disk of radius 2.0 m has a tangential velocity at its edge of 4.5 m/s. a. Consider a point 0.33 meters from the axis of rotation. Find the tangential velocity there? b. Find the angular velocity at the edge of the disk. c. Find the angular velocity at that point 0.33 m from the axis of rotation. d. Find its centripetal acceleration at the edge. e. Using "b." above find in radians how far the point on the edge travels in 15 s.

A 2.00-cm radius disk has an angular acceleration of

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