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A boy with a mass of 25kg is playing at the swing game as shown in...
A merry-go-round is rotating about its axis by 20.0rpm when a student with mass of 75.0...
A merry-go-round is rotating about its axis by 20.0rpm when a student with mass of 75.0 kg is at 1.0 m from the center. He starts moving toward the edge. Find angular velocity of total system when student is on the edge of merry-go-round. Merry-go-round has mass of 100 kg and radius of 3.0m and moment of inertia of disk is l= 1/2 MR2. Moment of inertia of boy is mR2. (use conservation of angular momentum)
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping.
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest.
A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest. The merry-go-round is a flat disk of mass 59.3 kg and radius 2.3m (the moment of inertia of a cylinder is ½ mr^2 ), turning on a frictionless pivot. The boy starts to walk around the edge of the merry-go-round in the clock-wise direction (when viewed from the top). When the boy is moving at 2.4 m/s relative to the merry-go-round: a....
A long beam with a length L -0.73 m and mass M - 3.4 kg has...
A long beam with a length L -0.73 m and mass M - 3.4 kg has a moment of inertia about its center of mass: ICH = 1 ML 1) What is the moment of inertia about a rotational axis a distance d, -0.186 from the center of mass? O 0.127 kg.m 0.269 kg-m 0.0098 kg-m? 1.82 kg-m? 1.96 kg-m? 1.82 kg-m? Submit Your submissions: A ? - 1.4 kg has a moment of inertia about its center of mass:...
A disk of radius r and mass m rolls down (pure roll) a incline from rest at point A as shown in Figure. When the center...
A disk of radius r and mass m rolls down (pure roll) a incline from rest at point A as shown in Figure. When the center of the disk pass the mid-point (25) between A and B, the total angular momentum of the disk relative to point is 0. What is the ratio a/r? Moment of Inertia for disk: I = mr2 A. 2.0<a/r <2.5 B. 1.5<a/r <2.0 C.0.5<a/T <1.0 D.2.5<a/r <3.0 E. 3.0<a/r <3.5 F.0.0< a/r <0.5 G. 1.0</<1.5
A soda bottle cap wobbles when spinning. Assume that the cap is a thin disk of...
A soda bottle cap wobbles when spinning. Assume that the cap is a thin disk of radius R and a mass M attached to a cylinder of height R, radius R, and mass M, as illustrated below R-height-radius Derive the moment of inertia tensor I around the bottle cap's center of mass. As measured relative to its own center of mass, the MOI for a disk around the principal axis perpendicular to the plane of the disk (ê3) is 1/2MR2,...
A boy of mass 75 kg is running at 5 m/s tangentially to a carousel that...
A boy of mass 75 kg is running at 5 m/s tangentially to a carousel that is initially at rest. The mass of the carousel is M = 500 kg and its radius is R = 3 m. If the boy jumps onto the edge of the carousel, what is the final angular velocity of the (carousel + boy) system? The moment of inertia of a solid disk is 1/2 mr^2. Ignore friction.
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...
A merry-go-round of radius r= 2.0 m and moment of 500 kg.m^2 rotates about a frictionless...
A merry-go-round of radius r= 2.0 m and moment of 500 kg.m^2 rotates about a frictionless pivot. It makes one revolution every 5 seconds. A child of mass 25kg walks from the center (r=0) to the edge (r=R). How long does it take the merry-go-round to make one revolution when the child is standing at the edge? (The moment of inertia of a circular disc is I=1/2mR^2) Is this process elastic? (That is, is the kinetic energy the same when...
A solid steel ball with mass = 1.0 kg and radius 0.25 m is held at...
A solid steel ball with mass = 1.0 kg and radius 0.25 m is held at rest on top of a ramp at height h = 2.0 m. The moment of inertia, I = (2/5)mR2 for a solid sphere. What is the final velocity of its center of mass, vcm, when it gets to the bottom of the ramp?
A merry-go-round is rotating about its axis by 20.0rpm when a student with mass of 75.0 kg is at 1.0 m from the center. He starts moving toward the edge. Find angular velocity of total system when student is on the edge of merry-go-round. Merry-go-round has mass of 100 kg and radius of 3.0m and moment of inertia of disk is l= 1/2 MR2. Moment of inertia of boy is mR2. (use conservation of angular momentum)
A long beam with a length L -0.73 m and mass M - 3.4 kg has a moment of inertia about its center of mass: ICH = 1 ML 1) What is the moment of inertia about a rotational axis a distance d, -0.186 from the center of mass? O 0.127 kg.m 0.269 kg-m 0.0098 kg-m? 1.82 kg-m? 1.96 kg-m? 1.82 kg-m? Submit Your submissions: A ? - 1.4 kg has a moment of inertia about its center of mass:...
A disk of radius r and mass m rolls down (pure roll) a incline from rest at point A as shown in Figure. When the center of the disk pass the mid-point (25) between A and B, the total angular momentum of the disk relative to point is 0. What is the ratio a/r? Moment of Inertia for disk: I = mr2 A. 2.0<a/r <2.5 B. 1.5<a/r <2.0 C.0.5<a/T <1.0 D.2.5<a/r <3.0 E. 3.0<a/r <3.5 F.0.0< a/r <0.5 G. 1.0</<1.5
A soda bottle cap wobbles when spinning. Assume that the cap is a thin disk of radius R and a mass M attached to a cylinder of height R, radius R, and mass M, as illustrated below R-height-radius Derive the moment of inertia tensor I around the bottle cap's center of mass. As measured relative to its own center of mass, the MOI for a disk around the principal axis perpendicular to the plane of the disk (ê3) is 1/2MR2,...
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...
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