1. a 2 kg wheel with a radius of 35 cm is initially at rest. How...
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. The disk is freely rotating at an angular speed of 14 rad/s when a 200 g clump of clay is dropped from above to land on the very edge of the wheel. What is the new angular speed at which the disk and clay rotate together?
Homework Answers
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 potter's wheel is rotating around a vertical axis through its center at a frequency of 2.0 rev/s . The wheel can be considered a uniform disk of mass 4.7 kg and diameter 0.30 m . The potter then throws a 2.8-kg chunk of clay, approximately shaped as a f
A potter's wheel is rotating around a vertical axis through its center at a frequency of 2.0 rev/s . The wheel can be considered a uniform disk of mass 4.7 kg and diameter 0.30 m . The potter then throws a 2.8-kg chunk of clay, approximately shaped as a flat disk of radius 7.0 cm , onto the center of the rotating wheel.A) What is the frequency of the wheel after the clay sticks to it?
Ignore friction.
Chapter 8-Part 2 A large grinding wheel in the shape of a solid cylinder of radius...
Chapter 8-Part 2 A large grinding wheel in the shape of a solid cylinder of radius 0.33 meter is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0,94 rad/s2. (a) What is the torque being applied to the wheel? (b) What is the moment of inertia of the wheel? ANS: (a) 82.5 Nm; (b) 87.8 kg-m2 A 2,000 kg Ferris...
You have a wheel with radius 0.75 m that is made of a 5 kg hoop...
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. Please show the complete steps.
A disk of mass 5 kg and radius 1 m is rotating with an angular velocity...
A disk of mass 5 kg and radius 1 m is rotating with an angular velocity of ?0 = 11 rad/s . A lump of clay of mass 3 kg is dropped onto the disk at a radius of 0.5 m , sticking to the disk. What is the final angular velocity of the disk? (Idisk = MR2/2 )
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft(the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia of the shaft is negligible, a) What is the angular speed of the disk-ball combination, b)...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft (the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia is of the shaft is negligible, (b) What is the angular speed of the disk-ball...
A 12.0 kg object is attached to a cord that is wrapped around a wheel of...
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
A) A clay vase on a potter's wheel experiences an angular acceleration of 7.94 rad/s2 due...
A) A clay vase on a potter's wheel experiences an angular acceleration of 7.94 rad/s2 due to the application of a 15.9-N m net torque. Find the total moment of inertia of the vase and potter's wheel. B) Consult Multiple-Concept Example 10 to review an approach to problems such as this. A CD has a mass of 17 g and a radius of 6.0 cm. When inserted into a player, the CD starts from rest and accelerates to an angular...
A potter's wheel, with rotational inertia 24 kg*m^2 is spinning freely at 40 rpm The potter...
A potter's wheel, with rotational inertia 24 kg*m^2 is spinning freely at 40 rpm The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay?
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...
Chapter 8-Part 2 A large grinding wheel in the shape of a solid cylinder of radius 0.33 meter is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0,94 rad/s2. (a) What is the torque being applied to the wheel? (b) What is the moment of inertia of the wheel? ANS: (a) 82.5 Nm; (b) 87.8 kg-m2 A 2,000 kg Ferris...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft (the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia is of the shaft is negligible, (b) What is the angular speed of the disk-ball...
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
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