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- A potter's wheel is a uniform solid disk of radius R = 0.300 m and M = 120 kg. It is initially rotating at 12.0 rad/s. The potter can stop the wheel in 6.00 s by pressing a wet rag against the rim exerting a normal force (radially inward) of 68.0 N. The effect of pressing with the rag produces a frictional torque that brings the wheel to a stop. What is the frictional torque that acts on the wheel while it is %3D slowing down? 125 N-m O - 25.5 N m O - 50.0 N m 12.5 N m O - 10.8 N:m DII 吕口 esc F5 F6 F7 FB F2 F3 F4 @ # $ & Q E R Y D F G K X V 00In the figure, two 6.80 kg blocks are connected by a massless string over a pulley of radius 2.20 cm and rotational inertia 7.40 x 104 kg-m?. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 1.30 rad in 107 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T4, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units > > >In the figure, two 8.20 kg blocks are connected by a massless string over a pulley of radius 2.40 cm and rotational inertia 7.40 x 104 kg-m?. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.500 rad in 198 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. T (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units
- A mass m=10kg is fastened to a light spring k=380N/m by a light that passes over a pulley. Assume the pulley is a uniform cylinder of mass Mp=5kg and radius R=0.2m and rotates without friction. The mass is released from rest when the spring is unstretched. The spring remains firmly fixed to the floor and to the string. What is the angular velocity of the pulley when the mass has fallen a distance h=0.4m stretching the spring.A uniform disk of mass 401 kg and radius 0.20 m is mounted on frictionless bearings so it can rotate freely around a vertical axis through its center (see the following figure). A cord is wrapped around the rim of the disk and pulled with a force of 10 N. 10 N (a) How much work (in J) has the force done at the instant the disk has completed four revolutions, starting from rest? (b) Determine the torque due to the force. (Enter the magnitude in N• m.) N: m Calculate the work (in J) done by this torque at the instant the disk has completed four revolutions. (c) What is the angular velocity (in rad/s) at that instant? (Enter the magnitude.) rad/s (d) What is the power output (in W) of the force at that instant? WThe angular velocity of a pulley of mass m and radius R changes with time w(t) = 60e-0.02t (rad/s). How m any cycles does the pulley make until it stops? Take =3. A) 150 В) 200 С) 125 D) 100 E) 500
- A thin rod of mass 0.800 kg and length 0.700 m has a fixed pivot at one end. The rod is held horizontally and released from rest. The rod swings downward and back up again like a pendulum. The rotational inertia of a thin rod rotating about one end is I=13ML2. Disregard friction and air resistance.(a) Determine the initial angular acceleration of the rod just as it is released.(b) Determine the maximum angular speed of the rod as it swings back and forth.In the figure, two 6.50 kg blocks are connected by a massless string over a pulley of radius 2.40 cm and rotational inertia 7.40 × 10-4 kg-m2. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 1.00 rad in 161 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s². T (a) Number Units (b) Number Units (c) Number Units Vi Nu (d). Number UnitsA small ball of mass 0.90 kg is attached to one end of a 1.20-m-long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 23° from the vertical, what is the magnitude of the torque about the pivot?
- A 3.0-m rod is pivoted about its left end. A force of 6.0 N is applied perpendicular to the rod at a distance of 1.2 m from the pivot causing a ccw torque, and a force of 5.2 N is applied at the end of the rod 3.0 m from the pivot. The 5.2 N is at an angle of 25 degrees to the rod and causes a cw torque. What is the net torque about the pivot? Choose – 6.3 Nm –1.7 Nm 0.6 Nm – 0.6 NmThe diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.540 kg and its length is 1.20 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. Ĵ L/2 CG M (a) (a) Determine the speed of its center of gravity at its lowest position in m/s. m/s (b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s. m/sA beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance l = 4.00 m from the left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Where is the woman when the normal force n, is the greatest? X = (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium…