A cord is wrapped around ihe rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady horizontal pull of 40.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless hearings on a horizontal axle through its center, (a) Compute the angular acceleration of the wheel and the acceleration of the part of the cord that has already been pulled off the wheel. (b) Find the magnitude and direction of the force that the axle exerts on the wheel. (c) Which of the answers in parts (a) and (b) would change if the pull were upward instead of horizontal?
A cord is wrapped around ihe rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady horizontal pull of 40.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless hearings on a horizontal axle through its center, (a) Compute the angular acceleration of the wheel and the acceleration of the part of the cord that has already been pulled off the wheel. (b) Find the magnitude and direction of the force that the axle exerts on the wheel. (c) Which of the answers in parts (a) and (b) would change if the pull were upward instead of horizontal?
A cord is wrapped around ihe rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady horizontal pull of 40.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless hearings on a horizontal axle through its center, (a) Compute the angular acceleration of the wheel and the acceleration of the part of the cord that has already been pulled off the wheel. (b) Find the magnitude and direction of the force that the axle exerts on the wheel. (c) Which of the answers in parts (a) and (b) would change if the pull were upward instead of horizontal?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
(a) A cord is wrapped around the rim of a wheel 0.250 m in radius,
and a steady pull of 40.0 N is exerted on the cord. The wheel is
mounted on frictionless bearings on a horizontal shaft through its
center. The moment of inertia of the wheel about this shaft is 5.00 kg.
m² Compute the angular acceleration of the wheel.
A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of inclination 30o. The coefficient of static friction µs = 0.25.(a) How much is the force of friction acting on the cylinder ?
A Texas cockroach of mass 0.203 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 13.7 cm, rotational inertia 4.75 x 10-3 kg-m2,
and frictionless bearings. The cockroach's speed (relative to the ground) is 2.43 m/s, and the lazy Susan turns clockwise with angular velocity wo
the rim and, of course, stops. (a) What is the angular speed of the lazy Susan after the cockroach stops? (b) Is mechanical energy conserved as it stops?
3.34 rad/s. The cockroach finds a bread crumb on
(a) Number
Units
(b)
the tolerance is +/-2%
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