Homework Answers
Relevant equations:-
Energy conservation: 1/2 Iw^2 + 1/2mv^2 = mgh v^2 = vo^2 +2ax
x=vot + .5at^2
v=vo+at
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2. A hollow cylinder (hoop) is rolling on a horizontal surface at speed y = 3.0...
A solid cylinder of, mass.1.800 Kg rolls without slipping along a horizontal surface with a linear...
A solid cylinder of, mass.1.800 Kg rolls without slipping along a horizontal surface with a linear velocity of 6.0 m/s. It reaches an incline that makes an angle of 40 degree with the horizontal. Ignoring the losses due to the friction, to what distance does the cylinder rise on the incline? After reaching its maximum position on the incline, what will be its velocity at the bottom of the incline on its way back ?
Rolling Motion Up and Down an Incline (a) A rolling (without slipping) hoop with a radius...
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 hollow sphere of mass 0.22 kg and radius 0.03 m is rolling across the floor...
A hollow sphere of mass 0.22 kg and radius 0.03 m is rolling across the floor at velocity of 3.8 m/s. It then encounters an incline of θ = 16° when it starts to slow down as it rolls up the ramp. What is the initial angular velocity of the hollow sphere before it starts to decelerate? Considering up the ramp to be the positive direction, what is the magnitude of the linear and angular deceleration as the hollow sphere...
A solid sphere and a hollow cylinder of the same mass and radius have a rolling...
A solid sphere and a hollow cylinder of the same mass and radius have a rolling race down an incline as in Example 13.9. They start at rest on an incline at a height habove a horizontal plane. The race then continues along the horizontal plane. The coefficient of rolling friction between each rolling object and the surface is the same. Both have mass M Both have radius R. Write an expression for the distances that each object will roll...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40° ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius R is MR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp; (b) the...
A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of...
A uniform solid sphere is rolling without slipping along a horizontal surface with a speed of 5.5 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.0 m up the ramp, measured along the surface of the ramp?
Question 9 10 pts A hollow cylinder of outer radius R = 14 cm and mass...
Question 9 10 pts A hollow cylinder of outer radius R = 14 cm and mass M = 100 g with moment of inertia about the center of mass Icom = MR2 starts from rest and moves down an incline tilted at an angle 0 = 38° from the horizontal. The center of mass of the cylinder has dropped a vertical distance h= 131 cm when it reaches the bottom of the incline. The coefficient of static friction between the...
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10...
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10 cm starts from rest and rolls without slipping down a 1.0 m-high inclined plane. What is the speed of the cylinder when it reaches the bottom of the inclined plane? (b) How about a solid sphere of the same mass and radius? (c) How about a hoop of the same mass and radius? (d) Which of the above objects is moving fastest when it...
A uniform cylinder is released from a height of 3.5 meters on an incline plane with a speed of 2....
A uniform cylinder is released from a height of 3.5 meters on an incline plane with a speed of 2.4 m/s. If the cylinder rolls down the incline without slipping, what is the speed of the cylinder when it reaches the bottom of the incline. 4. 2.4 m/s 3.5 m
A uniform cylinder is released from a height of 3.5 meters on an incline plane with a speed of 2.4 m/s. If the cylinder rolls down the incline without slipping,...
A solid cylinder of, mass.1.800 Kg rolls without slipping along a horizontal surface with a linear velocity of 6.0 m/s. It reaches an incline that makes an angle of 40 degree with the horizontal. Ignoring the losses due to the friction, to what distance does the cylinder rise on the incline? After reaching its maximum position on the incline, what will be its velocity at the bottom of the incline on its way back ?
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 and a hollow cylinder of the same mass and radius have a rolling race down an incline as in Example 13.9. They start at rest on an incline at a height habove a horizontal plane. The race then continues along the horizontal plane. The coefficient of rolling friction between each rolling object and the surface is the same. Both have mass M Both have radius R. Write an expression for the distances that each object will roll...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40° ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius R is MR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp; (b) the...
Question 9 10 pts A hollow cylinder of outer radius R = 14 cm and mass M = 100 g with moment of inertia about the center of mass Icom = MR2 starts from rest and moves down an incline tilted at an angle 0 = 38° from the horizontal. The center of mass of the cylinder has dropped a vertical distance h= 131 cm when it reaches the bottom of the incline. The coefficient of static friction between the...
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10 cm starts from rest and rolls without slipping down a 1.0 m-high inclined plane. What is the speed of the cylinder when it reaches the bottom of the inclined plane? (b) How about a solid sphere of the same mass and radius? (c) How about a hoop of the same mass and radius? (d) Which of the above objects is moving fastest when it...
A uniform cylinder is released from a height of 3.5 meters on an incline plane with a speed of 2.4 m/s. If the cylinder rolls down the incline without slipping, what is the speed of the cylinder when it reaches the bottom of the incline. 4. 2.4 m/s 3.5 m
A uniform cylinder is released from a height of 3.5 meters on an incline plane with a speed of 2.4 m/s. If the cylinder rolls down the incline without slipping,...
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