A solid sphere of mass M and radius R sits on a an incline of angle θ, when it is let go it rolls down-hill without slipping at total vertical distance of h. At the bottom of the hill the ball moves onto a horizontal surface and enters into a completely elastic collision with a stationary block of height 2R and mass 2M. Find the speed of the block right after the collision.
A solid sphere of mass M and radius R sits on a an incline of angle...
A sphere with a mass 'm' that is solid rolls up an incline that
has angle theta with an initial speed of Vo in the shown position.
The rough surface has static friction μ that prevents the sphere
from slipping as it rolls up this incline.
Part A: Calculate the maximum distance "D" that the sphere can
go up this incline using newton's laws
Part B: Calculate the maximum distance "D" that the sphere can
go up this incline using...
A solid, homogeneous sphere with of mass of M = 2.95 kg and a radius of R = 18.1 cm is resting at the top of an incline as shown in the figure. The height of the incline is h = 1.71 m, and the angle of the incline is θ = 17.5°. The sphere is rolled over the edge very slowly. Then it rolls down to the bottom of the incline without slipping. What is the final speed of...
A solid homogeneous sphere of mass M = 1.80 kg is released from rest at the top of an incline of height H=1.33 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 26.9o to the horizontal. Calculate the speed of the sphere's CM at the bottom of the incline. Determine the rotational kinetic energy of the sphere at the bottom of the incline.
A solid homogeneous sphere of mass M = 4.70 kg is released from
rest at the top of an incline of height H=1.21 m and rolls without
slipping to the bottom. The ramp is at an angle of θ = 27.7o to the
horizontal.
a) Calculate the speed of the sphere's CM at the bottom of the
incline.
b) Determine the rotational kinetic energy of the sphere at the
bottom of the incline.
1) A solid ball of mass M and radius R rolls without slipping down a hill with slope tan θ. (That is θ is the angle of the hill relative to the horizontal direction.) What is the static frictional force acting on it? It is possible to solve this question in a fairly simple way using two ingredients: a) As derived in the worksheet when an object of moment of inertia I, mass M and radius R starts at rest...
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 uniform, solid sphere of radius 5.00 cm and mass 1.75 kgstarts with a purely translational speed of 3.25 m/s at the top of an inclined plane. The surface of the incline is 1.75 m long, and is tilted at an angle of 24.0∘with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2at the bottom of the ramp.
A uniform, solid sphere of radius 5 cm and mass 4.75 kg starts with a purely translational speed of 3.75 m/s at the top of an inclined plane. The surface of the incline is 1m long, and is tilted at an angle of 22 degrees with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed at the bottom of the ramp.
A uniform solid sphere with a mass M = 2.0 kg and a radius R = 0.10 m is set into motion with an angular speed ωo = 70 rad/s. At t = 0 the sphere is dropped a short distance (without bouncing) onto a horizontal surface. There is friction between the sphere and the surface. Find (a) the angular speed of rotation when the sphere finally rolls without slipping at time t = T and (b) the amount of...
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=