V. A 10-cm diameter, solid, uniform circular disk with mass 0.2 kg rolls, without slipping, starting...
V. A 10-cm diameter, solid, uniform circular disk with mass 0.2 kg rolls, without slipping, starting from rest, down a long 30° incline. It reaches an angular speed of 8 rad/s in 4 s. The distance moved by the center of mass of the disk in 2.0 s is: a. 0.8 m b. 0.1 m c. 0.2 m d. 2.0 m e. None of the above
A solid disk (radius R=2.5 cm , mass M =0.35 kg) rolls without slipping down an 30 degree-incline. If the incline is 4.2 m long and the disk starts from rest, what is the linear velocity of its center of mass at the bottom of the incline (in m/s)?
If a solid sphere with mass 12 kg and radius 0.1 m rolls without slipping with a constant angular speed of 50 rad/s: (SHOW WORK). How far does it go up an incline of 42° if it continues to not slip? How far does it go up the same incline if instead it starts slipping? (i.e no friction between the ball and the incline)
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.9 m long. Assume it started from rest. The moment of inertia of a sphere is given by I = 2/5MR2. (a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline.
A uniform solid disk has a radius 1.60 m and a mass of 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity is 4.09 rad/s at the bottom, what is the height of the inclined plane?
A solid uniform spherical ball of mass 2.0 kg and radius 0.50 m rolls without slipping down a ramp that makes a 15 degree angle with the horizontal. What is the center-of-mass speed (in m/s) of the ball after it rolls 0.50 m down the ramp? A) 1.8 B) 2.5 C) 4.5 D) 7.0 E) None of these
e) none of the A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s. The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim. What is the direction of the disk's angular velocity? 5. 5.0 m/s a) to the left b) to the right c) out of the...
A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 2 m down a θ = 20° incline. The sphere has a mass M = 5.8 kg and a radius R = 0.28 m. 1. Of the total kinetic energy of the sphere, what fraction is translational? KE tran/KEtotal 2)What is the translational kinetic energy of the sphere when it reaches the bottom of the incline? KE tran = 3. What is the...
Problems 1. (30 points.) A uniform circular disk is rolling without slipping on a horizontal surface with an initial speed of 12 m/s. The disk then rolls without slipping up a ramp of height 3.0 m and length (along the ramp's surface) of 12.0 m. Coming to the end of the ramp, it shoots over the edge and ck to the ground. Calculate the magnitude of the angular velocity the disk will have about its center-of-mass when it hits the...
A solid, uniform sphere of mass 2.0 kg and radius 1.7 m rolls without slipping down an inclined plane of height 2.9 m. What is the angular velocity of the sphere at the bottom of the inclined plane?