A solid sphere of mass M and radius R starts from rest at the top of...
A solid sphere of mass 4.0 kg and radius of 0.12 m is at rest at the top of a ramp inclined 150. It rolls to the bottom without slipping. The upper end of the ramp is1.2 m higher than the lower end. What is the linear speed of the sphere when it reaches the bottom of the ramp?4.1 m/s is the correct answer.
A solid sphere of mass M and radius R starts from rest from the top of an inclined plane of height h, and rolls without slipping. Find the speed of the center of mass at the bottom of the inclined plane. (I = {MR) М. R x d u CM Radi-Rasmussen Select one: a. Egh cose 10 b Mgh d. Mgh sin 0 e v2gh • 1. Mgd n. Vigh sin e ENG
3. A ball, a solid sphere of radius r and mass m, is positioned at the top of a ramp that makes an angle of 0 with the horizontal. The initial position of the sphere is at a distance of d from its final position at the bottom of the incline. a) Find the velocity of the ball at the bottom of the ramp in terms of m, r, d, 8, and g. The moment of inertia of a sphere...
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
A uniform solid sphere of mass M=2kg and radius R=0.42m is given an initial angular speed w=10.1rad/s when it is at the bottom of an inclined plane of height h=2.5m, as shown in the figure. The sphere rolls without slipping. Find w if the sphere comes to rest at the top of the inclined plane. (Take g=9.81 m/s2, Isphere = 2/5 MR2 ). Express your answer using one decimal place. M.R
3. A round item of mass M starts from rest at the top of a hil of height h. It rolls down the hill, gaining both translational and rotational kinetic energy. Choose either a solid sphere (I = 름MR2), a solid cylinder (1-AMR2), or a hoop (I =MR2) and calculate the translational velocity v of the object at the bottom of the hill in terms of M, g, h, and numerical constants.
A uniform solid sphere of radius r=8.60 cm starts from rest at a height h and rolls without slipping along the loop-the-loop track of radius R=42.00 cm as shown in Figure 9-56. What is the smallest value of h for which the sphere will not leave the track at the top of the loop? (h is measured from the center of the ball at the top of the ramp to the center of the ball at the bottom of the...
thank you Problem 5 A solid sphere of mass M-2.00 ks (uniformly distributed) and radius R -0.100 m starts from rest at the top of an inclined plane of length L - 1.50 m and height H-0.500 m. The coefficient of static friction between the sphere and the inclined plane is H, -0.400. The sphere rolls without slipping down the inclined plane. The moment of inertia of the sphere about an axis through its center of mass is given by...
A solid sphere of mass M and radius R is sitting on a nat 1001 starts to raise on an incline, where the angle of the incline with respect to nomzo 0 = wot, where wo is a constant. Find the speed of the sphere as it rolls angle of the incline with respect to horizontal increases with time: time. Hint: first find the acceleration, from which you can find the speed. the speed of the sphere as it rolls...
A uniform, solid sphere of radius 5.00 cm and mass 4.75 kg starts with a purely translational speed of 1.75 m/s at the top of an inclined plane. The surface of the incline is 1.50 m long, and is tilted at an angle of 26.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp. ?2=