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81. A uniform disk with a mass of m and a radius of r rolls without...
Problems 1. (30 points.) A uniform circular disk is rolling without slipping on a horizontal surface...
Problems 1. (30 points.) A uniform circular disk is rolling without slipping on a horizontal surface with an initial speed of 12 m/s. The disk then rolls without slipping up a ramp of height 3.0 m and length (along the ramp's surface) of 12.0 m. Coming to the end of the ramp, it shoots over the edge and ck to the ground. Calculate the magnitude of the angular velocity the disk will have about its center-of-mass when it hits the...
A thin ring of radius R and mass M rolls without slipping along a level track....
A thin ring of radius R and mass M rolls without slipping along a level track. It has an initial linear, or translational velocity (of the center of gravity) of 3.50 m/s. The ring rolls to the end of the track, where the track curves upward. The center of gravity of the ring rises to a maximum height h above its initial level. Note that V is the symbol for the linear, or translational velocity (of the center of gravity)...
A solid uniform sphere rolls without slipping along a horizontal surface with translational speed v, comes...
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
A solid disk with radius R mass M rolls without slipping along a surface at constant...
A solid disk with radius R mass M rolls without slipping along a surface at constant V. What is the angular momentum of the disk about its own axis as it rolls? a) Mw/2 b) Mw c) MRv d) MRv/ 2 e) 2MRv
A uniform solid disk has a radius 1.60 m and a mass of 2.30 kg rolls...
A uniform solid disk has a radius 1.60 m and a mass of 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity is 4.09 rad/s at the bottom, what is the height of the inclined plane?
A uniform disk with a mass of 5 kg and a diameter of 0.5 m rolls...
A uniform disk with a mass of 5 kg and a diameter of 0.5 m rolls without slipping on a flat horizontal surface, as shown. When its horizontal velocity is 50 km/hr, what is the total kinetic energy of the disk? 50 km/h Provide numerical response below in J to 3 sig figs
A solid uniform spherical ball of mass 2.0 kg and radius 0.50 m rolls without slipping...
A solid uniform spherical ball of mass 2.0 kg and radius 0.50 m rolls without slipping down a ramp that makes a 15 degree angle with the horizontal. What is the center-of-mass speed (in m/s) of the ball after it rolls 0.50 m down the ramp? A) 1.8 B) 2.5 C) 4.5 D) 7.0 E) None of these
A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls...
A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls without slipping across a horizontal floor with a velocity v = 1.1 m/s. It then rolls up an incline with an angle of inclination theta = 44 degrees. a) What is the maximum height h reached by the hoop before rolling back down the incline? b) Now, suppose a uniform solid sphere is used instead of a hoop. Use the same values of r,...
A hollow sphere of mass m = 0.35 kg and radius r = 64 cm rolls...
A hollow sphere of mass m = 0.35 kg and radius r = 64 cm rolls along a flat surface at an initial speed of v, and then up a curved ramp with radius of curvature 4.7 m without slipping, until it reaches a maximum angle of 12 degrees around the curve and starts to roll backward. What was the initial speed of the ball in units of meters/second?
A uniform disk of radius r and mass md rolls without slipping on a cylindrical surface...
A uniform disk of radius r and mass md rolls without slipping on a cylindrical surface and is attached to a uniform slender bar AB of mass mb. The bar is attached to a spring of constant K and can rotate freely in the vertical plane about point A as shown in the figure . If the bar AB is displaced by small angle 0 and released, determine The energy of the system in terms of theta and theta '....
Problems 1. (30 points.) A uniform circular disk is rolling without slipping on a horizontal surface with an initial speed of 12 m/s. The disk then rolls without slipping up a ramp of height 3.0 m and length (along the ramp's surface) of 12.0 m. Coming to the end of the ramp, it shoots over the edge and ck to the ground. Calculate the magnitude of the angular velocity the disk will have about its center-of-mass when it hits the...
A thin ring of radius R and mass M rolls without slipping along a level track. It has an initial linear, or translational velocity (of the center of gravity) of 3.50 m/s. The ring rolls to the end of the track, where the track curves upward. The center of gravity of the ring rises to a maximum height h above its initial level. Note that V is the symbol for the linear, or translational velocity (of the center of gravity)...
A uniform disk with a mass of 5 kg and a diameter of 0.5 m rolls without slipping on a flat horizontal surface, as shown. When its horizontal velocity is 50 km/hr, what is the total kinetic energy of the disk? 50 km/h Provide numerical response below in J to 3 sig figs
A uniform disk of radius r and mass md rolls without slipping on a cylindrical surface and is attached to a uniform slender bar AB of mass mb. The bar is attached to a spring of constant K and can rotate freely in the vertical plane about point A as shown in the figure . If the bar AB is displaced by small angle 0 and released, determine The energy of the system in terms of theta and theta '....
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