suppose a wheel with a moment of inertia I=2.5kg*m², a radius of R=40cm, and a mass...
suppose a wheel with a moment of inertia I=2.5kg*m², a radius of R=40cm, and a mass of 6kg were spinning at 4 rad/s before being released. If it rolls without slipping, how fast will it roll?
A. 1.92 m/s
B. 1.36 m/s
C. 1.85 m/s
D. 2.17 m/s
Homework Answers
option B is correctAdd Answer to:
suppose a wheel with a moment of inertia I=2.5kg*m², a radius of
R=40cm, and a mass...
A freely spinning wheel of mass M and radius R and moment of inertia I has...
A freely spinning wheel of mass M and radius R and moment of inertia I has its center attached to a fixed point a distance H above the ground. A thin thread is wrapped around the edge of the wheel, and connected to a mass, M (same as the wheel). When the mass is released from rest, it falls the distance H in a time delta t. In terms of M, g, I and H, how much time, delta t,...
6. Consider the system shown: m, J, R The wheel with mass m, radius R, and rotational moment of i...
6. Consider the system shown: m, J, R The wheel with mass m, radius R, and rotational moment of inertia J rolls without slipping down the incline shown. The spring affixed to its axle has rest length h, and is neither extended nor compressed when r 0. The external force F is directed parallel to the direction of rolling. Find the total kinetic energy and potential energy in the system. Assume the gravitational potential energy to be zero when the...
[Use g = 10 m/s^2] A non-uniform wheel of mass 5 kg and moment of inertia...
[Use g = 10 m/s^2] A non-uniform wheel of mass 5 kg and moment of inertia 1/3 mR^2 is set on an incline whose height is h = 4 meters and length is L = 20 meters. The wheel is released from rest at the top of the incline and rolls without slipping to the bottom. What is the wheel's translational kinetic energy at the bottom of the incline? What is the wheel's rotational kinetic energy at the bottom of...
Thanks so much ahead of time! A spherical shell of radius 0.43 m and mass 27...
Thanks so much ahead of time!
A spherical shell of radius 0.43 m and mass 27 kg initially rolls without slipping towards an incline at a linear speed of 9.1 m/s. If the ball rolls up an incline (inclined 35 degrees above the horizontal) without sliding. How high will it go? A professor holding a spinning wheel used for a demonstration brings the wheel to a stop by applying a constant, tangential friction force to the edge (his hand). The...
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...
Problem: A wheel consists of a disk of outer radius R = 1.6 m, with a...
Problem: A wheel consists of a disk of outer radius R = 1.6 m, with a concentric axle of inner radius r = 0.48 m. The wheel is pulled by a rope looped around the axle. The total mass of the wheel (disk + axle) is M = 12.0 kg and its moment of inertia is I = 18.4 kg m/s. A constant force F = 110 N applied horizontally at the circumference of the axle, causes the wheel to...
6. A disk with a mass M, a radius R, and a rotational inertia of I-...
6. A disk with a mass M, a radius R, and a rotational inertia of I- MR is attached to a horizontal spring which has a spring constant of as shown in the diagram. When the spring is stretched by a distance x and then released from rest, the disk rolls without slipping while the spring is attached to the frictionless axle within the center of the disk (a) Calculate the maximum translational velocity of the disk in terms of...
5. A uniform circular wheel (I-M R) with radius, R=1.0 m and mass, M-50.0 kg is...
5. A uniform circular wheel (I-M R) with radius, R=1.0 m and mass, M-50.0 kg is spinning at 120 rev/min. At a particular moment of time (that we denote t-0) the wheel is subjected to a frictional force F=20.0 N applied tangentially at its rim. (a) The magnitude of the angular velocity of the wheel (in rad/s) after t=25 s is (b) The number of revolutions done by the wheel after 10 s
* A ball of mass M and radius R has a rotational inertia of · The...
* A ball of mass M and radius R has a rotational inertia of · The ball is released from rest and rolls without slipping down the ramp with no frictional loss of energy. The ball is projected vertically upward off a ramp as shown in the diagram, reaching a maximum height yaz above the point where it leaves the ramp. In terms of h, ymar is
8. Th e moment of inertia for a wagon wheel can be calculated by taking the sum of the moment of ...
8. Th e moment of inertia for a wagon wheel can be calculated by taking the sum of the moment of inertia for a hoop (radius 1.2 m) rotating about a Cylinder axis (mass 3 kg) and three rods of length 1.2 m, rotating about their center perpendicular to their length, each of mass o.8 kg. If the wheel is rotating at an angular speed of 2.5 rad/s, what is the wagon wheel's kinetic energy as it spins in place?...
6. Consider the system shown: m, J, R The wheel with mass m, radius R, and rotational moment of inertia J rolls without slipping down the incline shown. The spring affixed to its axle has rest length h, and is neither extended nor compressed when r 0. The external force F is directed parallel to the direction of rolling. Find the total kinetic energy and potential energy in the system. Assume the gravitational potential energy to be zero when the...
[Use g = 10 m/s^2] A non-uniform wheel of mass 5 kg and moment of inertia 1/3 mR^2 is set on an incline whose height is h = 4 meters and length is L = 20 meters. The wheel is released from rest at the top of the incline and rolls without slipping to the bottom. What is the wheel's translational kinetic energy at the bottom of the incline? What is the wheel's rotational kinetic energy at the bottom of...
Thanks so much ahead of time!
A spherical shell of radius 0.43 m and mass 27 kg initially rolls without slipping towards an incline at a linear speed of 9.1 m/s. If the ball rolls up an incline (inclined 35 degrees above the horizontal) without sliding. How high will it go? A professor holding a spinning wheel used for a demonstration brings the wheel to a stop by applying a constant, tangential friction force to the edge (his hand). The...
Problem: A wheel consists of a disk of outer radius R = 1.6 m, with a concentric axle of inner radius r = 0.48 m. The wheel is pulled by a rope looped around the axle. The total mass of the wheel (disk + axle) is M = 12.0 kg and its moment of inertia is I = 18.4 kg m/s. A constant force F = 110 N applied horizontally at the circumference of the axle, causes the wheel to...
6. A disk with a mass M, a radius R, and a rotational inertia of I- MR is attached to a horizontal spring which has a spring constant of as shown in the diagram. When the spring is stretched by a distance x and then released from rest, the disk rolls without slipping while the spring is attached to the frictionless axle within the center of the disk (a) Calculate the maximum translational velocity of the disk in terms of...
5. A uniform circular wheel (I-M R) with radius, R=1.0 m and mass, M-50.0 kg is spinning at 120 rev/min. At a particular moment of time (that we denote t-0) the wheel is subjected to a frictional force F=20.0 N applied tangentially at its rim. (a) The magnitude of the angular velocity of the wheel (in rad/s) after t=25 s is (b) The number of revolutions done by the wheel after 10 s
* A ball of mass M and radius R has a rotational inertia of · The ball is released from rest and rolls without slipping down the ramp with no frictional loss of energy. The ball is projected vertically upward off a ramp as shown in the diagram, reaching a maximum height yaz above the point where it leaves the ramp. In terms of h, ymar is
8. Th e moment of inertia for a wagon wheel can be calculated by taking the sum of the moment of inertia for a hoop (radius 1.2 m) rotating about a Cylinder axis (mass 3 kg) and three rods of length 1.2 m, rotating about their center perpendicular to their length, each of mass o.8 kg. If the wheel is rotating at an angular speed of 2.5 rad/s, what is the wagon wheel's kinetic energy as it spins in place?...
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