Rotational Energy 1. a) An object is rolling without slipping towards an inclined ramp. The object...
Rotational Energy
1.
a) An object is rolling without slipping towards an inclined ramp.
The object has a radius of 0.13 m, a mass of 1.2 kg, and is
traveling with a speed of 1.5 m/s. When the object travels up the
ramp, it reaches a maximum height of .43 m before it stops and then
begins to roll back down the ramp. What is the moment of inertia of
the object?
Homework Answers
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Rotational Energy
1.
a) An object is rolling without slipping towards an inclined ramp.
The object...
A thin hoop with a moment of inertia 1/2mr^2 is rolling without slipping from The inclined...
A thin hoop with a moment of inertia 1/2mr^2 is rolling without slipping from The inclined plane whose height is h. Express the velocity of the hoop at the bottom of the inclined in terms of acceleration due to gravity and height of the inclined plane. . A 5 kg ball traveling East at 15 m/s hit a 10 kg ball moving at 5m/s towards West. After collision the 5 kg ball bounces back at 6 m/s. What is the...
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...
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 305-N solid sphere of radius 0.4 m is released from rest and rolls without slipping...
A 305-N solid sphere of radius 0.4 m is released from rest and rolls without slipping from the top to the bottom of a ramp of length 5 m that is inclined at an angle of 25 degrees with the horizontal as shown in the figure below. a. What type(s) of energy does the object have when it is released? Gravitational Potential Energy (GPE) Rotational Kinetic Energy (KE) Translational Kinetic Energy (KE) Both KE and KE, GPE, KE, and KE,...
A ring of mass 2.4kg, inner radius 6.0cm, and outer radius 8.0cm is rolling (without slipping)...
A ring of mass 2.4kg, inner radius 6.0cm, and outer radius 8.0cm is rolling (without slipping) up an inclined plane that makes an angle of theta=36.9 with the horizontal. At the moment the ring is x=2.0 m up the plane its speed is 2.8 m/s. the ring continues up the plane for some additional distance and then rolls back down. Assuming that the plane is long enough so that the ring does not roll off the top end, how far...
A uniform, solid sphere rolls without slipping along a floor, and then up a ramp inclined...
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 ramp is inclined at an angle of 34° with the horizontal. You release a thin...
A ramp is inclined at an angle of 34° with the horizontal. You release a thin spherical shell of radius 0.15 m and it rolls without slipping, down the ramp for a distance L. If the mass of the shell is 1.5 kg, and its angular speed when it reaches the end of the ramp is 28.8 rad/s, what is the value of L, in meters?
Three objects roll without slipping from rest down an inclined plane. A solid sphere with 1,-...
Three objects roll without slipping from rest down an inclined plane. A solid sphere with 1,- 2/5 MR. a hallow cylinder Solid Cylinder I = MR', And a solid cylinder with I, - 1/2MR'. . Which of the objects will reach the bottom of the inclined plane first? Use conservation of energy for translation and rotational motion. RAMP (f) Solid cylinder (h) Solid sphere MRP (9) Thin-walled hollow cylinder R R OB JE(1 3 OBJECT 2 OBJECTI a) OBJECT S...
What is the moment of inertia of an object that rolls without slipping down a 2.57...
What is the moment of inertia of an object that rolls without slipping down a 2.57 m-high incline starting from rest, and has a final velocity of 6.76 m/S7 Express the moment of inertia as a multiple of MR', where is the mass of the object and Risits radius.
A thin hoop with a moment of inertia 1/2mr^2 is rolling without slipping from The inclined plane whose height is h. Express the velocity of the hoop at the bottom of the inclined in terms of acceleration due to gravity and height of the inclined plane. . A 5 kg ball traveling East at 15 m/s hit a 10 kg ball moving at 5m/s towards West. After collision the 5 kg ball bounces back at 6 m/s. What is the...
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...
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 305-N solid sphere of radius 0.4 m is released from rest and rolls without slipping from the top to the bottom of a ramp of length 5 m that is inclined at an angle of 25 degrees with the horizontal as shown in the figure below. a. What type(s) of energy does the object have when it is released? Gravitational Potential Energy (GPE) Rotational Kinetic Energy (KE) Translational Kinetic Energy (KE) Both KE and KE, GPE, KE, and KE,...
Three objects roll without slipping from rest down an inclined plane. A solid sphere with 1,- 2/5 MR. a hallow cylinder Solid Cylinder I = MR', And a solid cylinder with I, - 1/2MR'. . Which of the objects will reach the bottom of the inclined plane first? Use conservation of energy for translation and rotational motion. RAMP (f) Solid cylinder (h) Solid sphere MRP (9) Thin-walled hollow cylinder R R OB JE(1 3 OBJECT 2 OBJECTI a) OBJECT S...
What is the moment of inertia of an object that rolls without slipping down a 2.57 m-high incline starting from rest, and has a final velocity of 6.76 m/S7 Express the moment of inertia as a multiple of MR', where is the mass of the object and Risits radius.
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