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 solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down...
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)?
A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0° incline that is 10.0 m long.A) Calculate its translational speed when it reaches the bottom.B) Calculate its rotational speed when it reaches the bottom. C) What is the ratio of translational to rotational kinetic energy at the bottom? D) Avoid putting in numbers until the end so you can answer: do your...
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?
A spherical shell is released from rest and rolls down a θ = 28° incline without slipping and reaches the bottom with an angular speed of ω = 32.2 rad/s. The M = 1.5 kg sphere has a radius R = 0.60 m and a moment of inertia given as I = (2/3)MR2. Find the distance Δx that the sphere traveled on the incline in m.
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 hollow sphere of 2.307 kg mass is rolling down an incline without slipping. It starts from rest at a vertical height of 50 cm above the bottom. The sphere has a radius of 10 cm. What is the translational speed of the sphere, in m/s, at the bottom? The moment of inertia of a hollow sphere is 2/3mr^2. A. 0.85 B. 1 C. 2.2 D. 2.4 E. 2.6
A spherical shell is released from rest and rolls down a 2 = 28° incline without slipping and reaches the bottom with an angular speed of w = 32.2 rad/s. The M = 1.5 kg sphere has a radius R = 0.60 m and a moment of inertia given as I = (2/3)MR2. R -AX 0 Find the distance Ax that the sphere traveled on the incline. m
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...
A small solid sphere with radius 0.15 cm and mass 0.15 g rolls without slipping on the inside of a large fixed hemisphere with radius 0.10 m and a vertical axis of symmetry. The sphere starts at the top from rest. (a) What is its kinetic energy at the bottom? (b) What fraction of its kinetic energy at the bottom is associated with rotation about an axis through its center of mass? (c) What is the magnitude of the normal...
A small solid sphere with radius 0.46 cm and mass 0.56 g rolls without slipping on the inside of a large fixed hemisphere with radius 0.16 m and a vertical axis of symmetry. The sphere starts at the top from rest. (a) What is its kinetic energy at the bottom? (b) What fraction of its kinetic energy at the bottom is associated with rotation about an axis through its center of mass? (c) What is the magnitude of the normal...