A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They are all uniform and roll without slipping. In what order do they reach the bottom? sphere, hoop, disk O disk, hoop, sphere O sphere, disk, hoop O hoop, sphere, disk O hoop, disk, sphere
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what order do they reach the bottom?
sphere, hoop, disk
O disk, hoop, sphere
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O hoop, sphere, disk
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- A 2.25 kg thin spherical shell rolls without slipping across a level surface, translating at 3.25 m/s. If the shell's radius is 0.420 m, find the following. HINT (a) the shell's translational kinetic energy (in J) (b) the shell's rotational kinetic energy (in J) Need Help? Read It Watch ItAt the instant shown, the angular velocity of bar DE is 8 rad/s counterclockwise. Determine (a) angular velocity of bar BD, (b) angular velocity of bar AB, and (c) velocity of the midpoint of bar BD.The end point B of a boom is originally 5 m from fixed point A when the driver starts to retract the boom with a constant radial acceleration of r=- 1.0m/s2 and lower it with a constant angular acceleration 0=-0.5 rad/s2 At t= 2 s, determine (a) the velocity of point B, (b) the acceleration of point B,(c) the radius of curvature of the path.
- When human skin is wounded because of a puncture or scrape, disk-shaped keratinocyte cells migrate to the wound to form a first barrier against infection of the wound. Keratinocyte cells, typically 10.0 μm in diameter, have been shown to reach the wound site by rolling along the topmost layer of exposed skin at an angular speed 2.50π rad/h. (a) If keratinocyte cells migrate from both ends of a 4.10 mm-long scrape, how long (in hours) would it take the cells to form a complete barrier? hours (b) What is the translational kinetic energy (in J) of a single keratinocyte cell with a mass of 2.00 x 10-⁹ g as it rolls toward a wound site? (c) What is the rotational kinetic energy (in J) of a single keratinocyte cell with a mass of 2.00 x 10-⁹ g as it rolls toward a wound site? JA uniform sphere with mass M and radius R is rotating with angular speed v1 about a frictionless axle along a diameter of the sphere. The sphere has rotational kinetic energyK1. A thin-walled hollow sphere has the same mass and radius as the uniform sphere. It is also rotating about a fixed axis along its diameter. In terms of v1, what angular speed must the hollow sphere have if its kinetic energy is also K1, the same as for the uniform sphere?There is a uniform hollow spherical shell with a radius of 15 cm siting at the end of a massless rod with a length 5 cm and swings without friction about an axis. If it is released from rest above the axis, what is its angular velocity as it swings through directly below the axis?
- Initially, a ball has an angular velocity of 5.0 rad/s counterclockwise. Some time later, after rotating through a total angle of 5.5 radians, the ball has an angular velocity of 1.5 rad/s clockwise. (a) What is the angular acceleration? What is the average angular velocity? How much time did this take? (b) At some point the angular velocity of the ball had to have been zero. At what angle from it's initial orientation did this occur and how long did it take?Please include the FBDA 20-kg child running at 1.4 m/s jumps onto a playground merry-go-round that has mass 180 kg and radius 1.6m. She is moving tangent to the platform when she jumps and she lands right on the edge. What is the angular velocity of the child and the merry-go-round if the merry-go-round started from rest? You can treat the merry- go-round as a solid disc and ignore any friction in its axle. Please answer in units of rad/sec.Two people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of 1.7 x 10-3 rad/s While the ohter has an angular speed of 3.4 x 10-3 rad/s. How long will it be before they meet?
- A solid sphere of radius R rotates about a diameter with an angular speed w. The sphere then collapses under the action of internal forces to a final radius R/2. What is the final angular speed of the sphere? I. w/4 II. w/2 III. w IV. 2w V. 4w OIV O II Next « Previous MacBook ProProblem 8 : A small sphere of radius r0 = 1.5 cm rolls without slipping on the track shown in the figure whose radius is R0 = 25.0 cm . The sphere starts rolling at a height R0 above the bottom of the track. (Figure 1) Part A When it leaves the track after passing through an angle of 135 ∘as shown, what will be its speed? Express your answer using two significant figures. Part B When it leaves the track after passing through an angle of 135 ∘ as shown, at what distance D from the base of the track will the sphere hit the ground? Express your answer using two significant figures.A 1.50 kg solid, uniform sphere of radius 0.120 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 m above the ground. The sphere rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The sphere then rises to its maximum height hmax at point C. HINT 1.90 m v=0 A (a) At point B, find the sphere's translational speed v (in m/s). m/s (b) At point B, find the sphere's rotational speed (in rad/s). rad/s Need Help? (c) At point C, find the sphere's rotational speed (in rad/s). rad/s (d) At point C, find the maximum height h max m 1 Road It Watch It C B 10.450 m hmax of the sphere's center of gravity (in m).