A bowing bat (which can be approximated as a solid sphere of mass m and radius...
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.
Please show all work. Thank you! Part I: A solid sphere of mass M and radius R is released from rest on a ramp that makes an angle 0 with the horizontal. The sphere is initially distance d from the bottom of the ramp, and it rolls without slipping. Using the principle of energy conservation, find an expression for the speed v of the sphere when it reaches the bottom of the ramp. Your answer should be in terms of...
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...
Please answer this two part question A solid sphere of mass m and radius a rolls without slipping down a ramp that has a height h and is inclined at angle 0. The sphere is initially motionless. It takes 10 s for the sphere to roll to the bottom of the ramp. 2. a) Would a hoop of the same mass and radius take the same time, or more, or less? Explain. MR The hoop has a maller coeficient from...
Problem 4. A solid sphere of mass m and radius r rolls without slipping along the track shown below. It starts from rest with the lowest point of the sphere at height h 3R above the bottom of the loop of radius R, much larger than r. Point P is on the track and it is R above the bottom of the loop. The moment of inertia of the ball about an axis through its center is I-2/S mr. The...
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 with a mass of M = 360 grams and a radius R = 18.0 cm is rolling without slipping on a horizontal surface at a constant speed of 2.50 m/s. It then encounters a ramp inclined at an angle of 17.0 degrees with the horizontal, and proceeds to roll without slipping up the ramp. Use g = 10.0 m/s2. How far does the sphere travel up the ramp (measure the distance traveled along the incline) before...
A uniform, solid sphere rolls without slipping along a floor, and then up a ramp inclined at 17º. It momentarily stops when it has rolled 0.85 m along the ramp. 1) Solve for an algebraic expression for the linear speed of the sphere. 2) What was the sphere's initial linear speed?
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.
after scoring a strike, your bowling ball ( M = 7.2 kg, R = 11.0 cm) rolls, without slipping, back toward the ball rack, To reach the rack, the ball rolls up a ramp that rises through a vertical distance of 0.55 m. if the ball approaches the ramp with a speed of 2.800 m/s, what will be the speed of the ball, when it reaches the top of the ramp? Assume that the ball is a solid sphere