1. A solid is rolling without slipping down an incline. At the bottom of the incline there is a ramp that creates a "quarter-pipe". A quarter pipe is one quarter of a circle, when viewed from the side. The sphere is released from rest, 4 meters above the bottom of the incline. The sphere rolls without slipping down the incline and back up the quarter-pipe. Thesphere leaves trhe quarter-pipe 30 cm above the bottom of the incline and is launched vertically (straight into the air).
(a) Determine the height above the bottom of the incline the ball will reach after leaving the quarter-pipe. (IGNORE ANY EFFECTS DUE TO AIR RESISTANCE.)
(b) How would the height determined in part (a) change if the ramp were friction-less. Explain, briefly. Justifications should be made using concepts from physics.
1. A solid is rolling without slipping down an incline. At the bottom of the incline there is a r...
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 sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow cube at the bottom that is only 1/5 its mass. If the incline is h tall and the table has a height of D from the floor, at what horizontal distance from the table do the two objects land? The cube/sphere combination leaves the incline moving horizontally.
A solid ball of diameter 20.0 cm is rolling without slipping to the right as shown below. The initial period of the ball is 1.00 s. The height of the ramp is h = 0.500 m and it is at an angle of 40.0°. A) What is the period of the ball at the bottom of the incline? The ball now rolls without slipping up a ramp on the right that has an incline of 20.1° B) How high up...
a solid sphere rolls without slipping from height of 3.5m down inclined plane. calculate speed of sphere when it reaches bottom of ramp.
Rolling Motion Up and Down an Incline (a) A rolling (without slipping) hoop with a radius of 0.10 m and a mass of 1.80 kg climbs an incline. At the bottom of the incline, the speed of the hoop's center-of-mass is v. = 7.00 m/s. The incline angle is NOT needed in this problem. Vf=0 Max h What is the angular speed of the hoop's rotation? Enter a number rad/s Submit (5 attempts remaining) What is the hoop's translational kinetic...
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 small sphere of radius (r) =1.5cm rolls without slipping on the track whose radius (R) =26cm. the sphere starts rolling at a height (R) above the bottom of the track. when it leaves the track after passing through an angle of 135 degrees. a. at what distance D from the base of the track will the sphere hit the ground. Please specify how you find x and y components of the velocity.
A solid sphere rolls in released from rest and rolls down an incline plane, which is 2.0 m long and inclined at a 30° angle from the horizontal. (a) Find its speed at the bottom of the incline. (Remember that the kinetic energy in rolling motion is the translational kinetic energy ½ Mv2 of the center, plus the rotational K.E. ½ Iω2 about the center. Also remember that v = ωr if the sphere rolls without slipping.) (b) Find the...
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 solid uniform sphere rolls without slipping along a horizontal surface with translational speed v, comes to a ramp, and rolls without slipping up the ramp to height h, as shown. Assuming no losses to friction, heat, or air resistance, what is h in terms of v? The moment of inertia of a rolling solid sphere is Icm=2/5MR2. Assume acceleration due to gravity is g= 9.8 m/s2. A.7v^2/10g B.v^2/2g C.v^2/7g D.3v^2/10g