A wheel with a weight of 395 N comes off a moving truck and rolls without...

A wheel with a weight of 395 N comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at an angular velocity of 22.2 rad/s . The radius of the wheel is 0.647 m and its moment of inertia about its rotation axis is 0.800 MR2. Friction does work on the wheel as it rolls up the hill to a stop, at a height of h above the bottom of the hill; this work has a magnitude of 3524 J . Calculate h. Use 9.81 m/s2 for the acceleration due to gravity.

Solutions

Expert Solution

genius_generous answered 6 months ago

Next > < Previous

Related Solutions

A wheel with a weight of 392 N comes off a moving truck and rolls without...

A wheel with a weight of 392 N comes off a moving truck and rolls without slipping along a highway. At the bottom of the hill it is rotating at an angular velocity of 27.7 rad/s. the radius of the wheel is .596 m and its moment of inertia about its rotation axis is .800 MR^2. Friction does work on the wheel as it rolls up the hill to a stop at a height of h about the bottom of...

A wheel of radius 0.280 m, which is moving initially at 33 m/s, rolls to a...

A wheel of radius 0.280 m, which is moving initially at 33 m/s, rolls to a stop in 215 m. Calculate its linear acceleration.(magnitude only) 2) Calculate its angular acceleration.(magnitude only) 3)The wheel's rotational inertia is 0.195 kg* m2 about its central axis. Calculate the torque exerted by the friction on the wheel, about the central axis.(N*m) (magnitude only)

In an online viral video, a truck rolls down an incline and off a vertical cliff,...

In an online viral video, a truck rolls down an incline and off a vertical cliff, falling into a valley below. The truck starts from rest and rolls down the incline, which makes an angle of 21.0° below the horizontal, with a constant acceleration of 3.37 m/s2. After rolling down the incline a distance of 30.0 m, it reaches the edge of the cliff, which is 35.0 m above ground level. How much time (in s) does it take the...

A solid wheel with mass M, radius R, and rotational inertia MR2/2, rolls without sliding on...

A solid wheel with mass M, radius R, and rotational inertia MR2/2, rolls without sliding on a horizontal surface. A horizontal force F is applied to the axle and the center of mass has an acceleration a. The magnitudes of the applied force F and the frictional force f of the surface, respectively, are: F=Ma,f=0 F=Ma,f=Ma/2 F=2Ma,f=Ma F=2Ma,f=Ma/2 F =3Ma/2, f =Ma/2

A wheel of radius r rolls to the right without slipping on a horizontal road. Its axle moves at a constant speed vaxle.

A wheel of radius r rolls to the right without slipping on a horizontal road. Its axle moves at a constant speed vaxle. (a) Find the velocities of points A, B, and C with respect to the axle. Express your answers in terms of vaxle and r, as needed. (b) Find the velocities of points A, B, and C with respect to the road. (c) Comment on the velocity of point C with respect to the road.

Subjects