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Problems with solutions
| I.D |
Level |
Problem |
Problem Topic |
| 558 |
High school |
A grinding wheel , with a mass of 21.5 kg and a radius of 23.2 cm, is a uniform cylindrical disk .
(a) Find the rotational inertia of the wheel about its central axis .
(b) When the grinding wheel’s motor is turned off , friction causes the wheel to slow from 1200 rpm to rest in 59.7 S . What torque must the motor provide to acceler . . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 559 |
High school |
A playground merry-go-ground , made in the shape of a solid disk , has a diameter of 2.54 m and a mass of 352.5 kg . Two children , each of mass 30.1 kg , sit on opposite sides at the edge of the platform . Approximately the children as point masses .
(a) What torque is required to bring the merry-go-round from rest to 29 rpm in 19.9 S ?
. . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 560 |
High school |
A solid sphere of mass 0.603 kg rolls without slipping along a horizontal surface with a translation speed of 5.31 m/s . It comes to an incline that makes an angle of 35 degree with the horizontal surface .
(a) What is the total energy of the rolling sphere ? Neglect energy losses due to friction .
(b) To what vertical height above . . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 561 |
High school |
The string in a yo-yo is wound around an axle of radius 0.533 cm . The yo-yo has both rotational and translational motion , like a rolling object , and has mass 0.225 kg and outer radius 1.96 cm . Starting from rest , it rotates and falls a distance of 1.42 m ( the length of the string ). Assume for simplicity that the yo-yo is a uniform circular d . . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 562 |
High school |
A figure skater is spinning at a rate of 1.0 rev/s with her arms outstretche . She then draws her arms in to her chest , reducing her rotational inertia to 68% of its original value . What is her new rate of rotation ?
. . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 563 |
High school |
A solid cylindrical disk is to be used as a stabilizer in a ship . By using a massive disk rotating in the hold of the ship , the captain knows that a large torque is required to tilt its angular momentum vector . The mass of the disk to be used is 1.62 x 10^5 kg and it has a radius of 2.05m . If the cylinder rotates at 300.0 rpm , what is the magn . . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 564 |
High school |
What is the difference between linear speed and rotational speed ? What are the differences in formulas ? . . . continues
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Rotational Mechanics |
| 565 |
High school |
A bicycle wheel has a 30 cm radius . If a smaller wheel with a 25cm radius is installed , what is the change in linear speed if the wheels rotates at 1 rev per second ? . . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 566 |
High school |
Marble A and marble B , both with the same mass M and radius R , are released at the top of an inclined plane and roll without slipping to the bottom . Marble A is solid , while Marble B is hollow , with all the mass on the surface . If it takes 10.00 seconds for marble A to roll to the bottom , how long does it take for marble B ? . . . continues
Click to Purchase Solution |
Rotational Mechanics |
| 567 |
High school |
A railroad car is situated on a hill 22 meters above railroad car B , the linear distance between Car A and Car B is 72 meters , Car B is 54 linear meters away from the to of a 12 meter tail hill that goes into a lake . If car A has mass 2750 kg , and Car B has mass 4750 kg , what must car A’s minimum initial speed be such that it collide . . . continues
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Work,Power & Energy |
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