A rubber solid circular wheel of uniform density spins about it axis at rate of 60 revs per second. It is suddenly brought into contact with a rough surface and rolls along the surface without slipping.
Assuming no energy loss when the wheel comes into contact with a rough surface, calculate the new rate of rev per second of the wheel about it axis.
Hint consider the moment of inertia of a disk
A rubber solid circular wheel of uniform density spins about it axis at rate of 60...
5. A uniform solid sphere rolls without slipping down a 19° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = ⅖mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7⁄5mr².
Up A #4. [Gyroscope Wheel] A rubber wheel on a steel rim spins freely on a horizontal axle that is suspended by a fixed pivot at point P. When the wheel spins at a rate of 4.00 rev / s, it precesses smoothly about point Pin a horizontal plane with a period of 3.50 s. The wheel's outer radius is 15.0 cm, and it's total mass is measured to be 1.12 kg, 60% of this being the spinning wheel and...
A uniform solid sphere has a moment of inertia I about an axis tangent to its surface. What is the moment of inertia of this sphere about an axis through its center?
Need specific solutions for these questions, thank you~ 3. A 392-N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 25.0 rad/s. The radius of the wheel is 0.600 m, and its moment of inertia about its rotation axis is 0.800MR2 Friction does work on the wheel as it rolls up the hill to a stop, a height h above the bottom of the hill; this...
Determine the moment of inertia of the wheel when rolling about its center axis (x-axis). The wheel is made from steel whose density is 7800 Round your answer to three significant figures. The thickness of the wheel is t = 16 mm and can be treated as a flat disk, with Tin = 132 mm and rout = 150 mm. Also, determine the radius of gyration for this wheel rounded to 3 significant figures. Be careful with units! x Mass...
A solid uniform sphere rolls without slipping along a horizontal surface with translational speed v, comes to a ramp, and rolls without slipping up the ramp to height h, as shown. Assuming no losses to friction, heat, or air resistance, what is h in terms of v? The moment of inertia of a rolling solid sphere is Icm=2/5MR2. Assume acceleration due to gravity is g= 9.8 m/s2. A.7v^2/10g B.v^2/2g C.v^2/7g D.3v^2/10g
The 160 lb ice skater with arms extended horizontally spins about a vertical axis with a rotational speed of 1 rev/sec. Estimate his rotational speed if he fully retracts his arms, bringing his hands very close to the centerline of his body. As a reasonable approximation, model the extended arms as uniform slender rods, each of which is 27 in. long and weighs 13 lb. Model the torso as a solid 134-lb cylinder 13 in. in diameter. Treat the man...
13. Points A wheel is made up of a uniform thin rim (hollow cylinder) of mass 2m kg and 6 thin uniform spokes each of mass m kg and length L = 0.5 meters. The wheel is given an initial translational speed Vo = 10.0 m/s and launches vertically from the top of a quarterpipe of height h -5.00 meters. The wheel rolls without slipping along the ramp, and air resistance is negligible. a) Find the moment of intertia about...
A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see figure . The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg·m2. The wheel is initially at rest at the top of a surface that is inclined at angleθ = 43.6o with the horizontal; the axle rests on the surface while the wheel extends into a...
Chapter 11, Problem 081 A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see the figure). The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg-m2. The wheel is initially at rest at the top of a surface that is inclined at angle 58.4° with the horizontal; the axle rests on the surface while the wheel...