You have a wheel with radius 0.75 m that is made of a 5 kg hoop connected by a single 5 kg rod passing through the center of the hoop and connected to each edge. With the wheel initially at rest, you push on the edge of the wheel with a constant force of 40 N for 0.25 s. Determine the final angular speed of the wheel.
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1. a 2 kg wheel with a radius of 35 cm is initially at rest. How much work must be done on the wheel to give it an angular speed of 15 rad/s? 2. a .4 kg hoop is released from rest at a height of 78 cm above a tabletop, to roll down an incline (without slipping). Calculate the hoop's speed when it reaches the tabletop. 3. A 1.4 kg solid potter's wheel has a radius of 23 cm....
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A uniform-density wheel of mass 10 kg and radius 0.33 m rotates on a low-friction axle. Starting from rest, a string wrapped around the edge exerts a constant force of 15 N for 0.81 s. (a) What is the final angular speed? 0r = 7.36 radians/s (b) What was the average angular speed? T2.98 average = radians/s (c) Through how big an angle did the wheel turn? -12.41 . radians/s (d) How much string came off the...
A 7.5-kg wheel, with a radius of 0.3 m and a radius of gyration about point O ko 0.25 7.5-kg wheel, with a m is initially at rest (to 0) when a force P 10 2t2 IN] is applied to the cord wrapped around its perimeter, where t is in seconds (see Figure ). Four seconds after the wheel stars spinning (t14 s), a constant braking moment of Mb 25 Nm is applied to the wheel. Determine the angular velocity...
A hoop of mass M = 3 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to vCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
An green hoop with mass mh = 2.8 kg and radius Rh = 0.17 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.4 kg and radius Rd = 0.08 m. The other end of the string is attached to a massless axel through the center of an orange sphere on a flat horizontal surface that rolls without slipping and has mass ms = 3.3 kg and radius Rs = 0.18 m....
28 A certain wheel turns through 100 rev in 15 s its angular speed at the end of the period being 12 rev/s (a) What was the angular speed of the wheel at the beginning of the 15-s interval, assuming constant angular acceleration? (b) How much time had elapsed between the time the wheel was at rest and the beginning of the 15-s interval? 29 A hoop of radius 2.5m has a mass if 150 kg. It rolls along a...
3. A roulette wheel with mass 71.0 kg and radius 40.0 cm can be approximated as a disk with a momentum of inertia = ½ mr. A) what is the torque on the wheel if it is spun with a force of 15.0 N on its outer edge? B) what is its angular acceleration? C) If the force is applied for 0.33 s, what is its final angular velocity if it starts from rest? D) What is the final tangential...
A hoop of mass M = 2 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to VCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
A wheel with mass of 5 kg and a radius of 15 cm is mounted so that it spins on an axle through its center. A light-weight string is wound around the circumference of the wheel. If a constant force of 3.0 N is applied to the end of the string for 1.0 seconds, what will be the change in the angular velocity? (Model the wheel as though it were a uniform cylinder.)
A wheel with a mass of 0.8·kg and a radius of 0.35·m is pulled
by a horizontal force applied at its center. The curb is 0.14·m
high.
a) What is the minimum force needed to just raise the wheel off
the ground?
b) Suppose the horizontal force you found in the previous part
is increased by 4.2·N. If you model the wheel as a simple hoop,
what is its initial angular acceleration as it starts to
rise off the ground?