A ball of mass M and radius R, rolls smootly from rest down a ramp at...

Question

Question

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

A ball of mass m = 2 kg and radius r = 0.2 meters, rolls down...

A ball of mass m = 2 kg and radius r = 0.2 meters, rolls down a water slide, like shown. The slide curves up at the end and launches the ball into the air. The height is h = 1.5 meters, angle ? = 60°, and the angle ? = 25°. If the ball starts at rest, and rolls without slipping, find ymax, the height to which the child is launched, in meters. Treat the ball as being launched...
A very thin circular hoop of mass(m) and radius(r) rolls without slipping down a ramp inclined at an angle(theta) wit...

A very thin circular hoop of mass(m) and radius(r) rolls without slipping down a ramp inclined at an angle(theta) with the horizontal, as shown in the figure.What is the acceleration(a) of the center of the hoop? Express your answer in terms of some or all of the variablesm,r, theta, and the magnitude of the acceleration due to gravity(g).
A ball with a radius r and a mass m starts from rest and then rolls...

A ball with a radius r and a mass m starts from rest and then rolls without slipping a distance L down a roof sloped at an angle θ. The ball comes oﬀ the roof a height H above the ground. Derive an expression for the ball’s speed v, just as it leaves the roof, in terms of g, L, and θ: A. If the ball is a solid sphere. B.If the ball is a hollow sphere. C. For each...

2) A solid uniform ball of mass m and radius r rolls down a hemispherical bowl...

2) A solid uniform ball of mass m and radius r rolls down a hemispherical bowl of radius R, starting from a height h above the bottom of the bowl. The surface on the left half of the bowl has sufficient friction to prevent slipping, and the right side is frictionless. R (a) (5 marks) Determine the angular speed w the ball rotates in terms of e', when it rolls without slipping. (b) (5 marks) Derive an expression for the...
A disk of m=5 kg and radius r=2 m starts from rest and rolls down a...

A disk of m=5 kg and radius r=2 m starts from rest and rolls down a 20 degree incline from an initial height of 50 m. What is the linear velocity of the disk as it reaches the bottom of the incline? What is the rotational kinetic energy of the disk at the halfway point between the positions 1 and 2? If it takes 1.2 seconds for the disk to reach the bottom of the incline, find the magnitude of...
* A ball of mass M and radius R has a rotational inertia of · The...

* A ball of mass M and radius R has a rotational inertia of · The ball is released from rest and rolls without slipping down the ramp with no frictional loss of energy. The ball is projected vertically upward off a ramp as shown in the diagram, reaching a maximum height yaz above the point where it leaves the ramp. In terms of h, ymar is

A solid, uniform disk of radius 0.250 m and mass 53.7 kg rolls down a ramp...

A solid, uniform disk of radius 0.250 m and mass 53.7 kg rolls down a ramp of length 4.20 m that makes an angle of 12.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/s
Scenario A thin hoop of mass M and radius R is released from rest at the...

Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
1) A solid ball of mass M and radius R rolls without slipping down a hill...

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...

A block of mass m is at rest at the top of a ramp of vertical...

A block of mass m is at rest at the top of a ramp of vertical height h. The block starts to slide down the frictionless ramp and reaches a speed v at the bottom. If the same block were to reach a speed 2v at the bottom, it would need to slide down a frictionless ramp of vertical height _____.