*Chapter 11, Problem 13Nonuniform ball. In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loopof radius 0.47 m. The initial height of the ball is h = 0.34 m. At the loop bottom, the magnitude of the normal force on theball is 1.92Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere(of a different uniform density). The rotational inertia of the ball can be expressed in the general form I = BMR², but B isnot 0.4 as it is for a ball of uniform density. Determine B.the tolerance is +/-2%

using energy conservation we can write energy at the top=energy at the bottom of the loop hence Mgh=…

Answered: *Chapter 11, Problem 13 Nonuniform…

Similar questions

When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of a star's mass outward, in the form of a rapidly expanding spherical shell. As a simple model of the supernova process, assume that the star is a solid sphere of radius R that is initially rotating at 1.8 revolutions per day. After the star explodes, find the angular velocity, in revolutions per day, of the expanding supernova shell when its radius is 3.9R. Assume that all of the star's original mass is contained in the shell.
A sphere with radius 0.245m has density ϝ that decreases with distance r from the center of the sphere according to =3.25x103kg/m^3-(9.50x103kg/m^4)r . Part A Calculate the total mass of the sphere. Part B Calculate the moment of inertia of the sphere for an axis along a diameter.
4
Fnet = ma, Ffric,k = MkN, Ffric,s,max = μs N₁ v=rw, ac v2 = ²/² = rw², Fnet,c = mac r
Help with the attached question.
In (Figure 1), take m₁ = 3 kg and m³ = 5 kg. Figure 5m 8 m/s 4m 3 1.5 m O 0 2 m 4 m mB B 30° 1 m 6 m/s x < 1 of 1 Part A Determine the z component of the angular momentum Hp of particle A about point P using scalar notation. Express your answer to three significant figures and include the appropriate units. (Hp)₂ = Submit Part B μA Submit Value Provide Feedback Request Answer Determine the z component of the angular momentum Hp of particle B about point P using scalar notation. Express your answer to three significant figures and include the appropriate units. (HP)₂= Value HÅ Units Request Answer wwwwww ? Units ?
A 3.4-kg sphere is suspended by a cord that passes over a 1.3-kg pulley of radius 3.6 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? m (b) Find the speed of the sphere after has fallen 25 cm. m/s Need Help? Read It
Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 0.80 m and the disk is rotating with an angular speed of 38 rpm. The coefficient of friction between the bugs and the disk are μs = 0.80 and μk= 0.60. What is Crunchy's speed, in m/s?
A roller coaster loaded with passengers has a mass of 2 x 10³ kg; the radius of curvature of the track at the lowest point of the track is 24 m. If the vehicle has a tangential speed of 18 m/s at this point, what force is exerted on the vehicle by the track? O 9.33 x 10^4 N O 1.91 x 10^4 N O 5.27 x 10^4 N O 4.66 x 10^4 N
В C P D The above diagram shows four objects, A, B, C, and D, all moving to the right in a straight line at the same constant speed. Which one of the following statements is correct about the angular momenta La, LB, Lc, and Lp of the objects, with respect to point P? O LA = LB = Lc = LD> 0 O LA > LB = Lc > Lp = 0 LA = LB = Lc = LD = 0 LA> LB > Lc> LD = 0 LA > Lc> LB > LD = 0
Change in angular momentum. In the figure below, a Texas cockroach with mass m = 0.0470 kg (they are large) rides on a uniform disk of mass M = 10.8m and radius R = 0.0960 m. The disk rotates like a merry-go-round around its central axis. Initially, the cockroach is at radius r = R and the angular speed of the disk is w; = 0.910 rad/s. Treat the cockroach as a particle. The cockroach crawls inward to r = 0.330R. What is the change in angular momentum of (a) the cockroach-disk system, (b) the cockroach, and (c) the disk? (a) Number (b) Number (c) Number p. Units Units Units Rotation axis ◄►
A variation of the amusement park ride discussed in Problem 11 is the Gravitron, which consists of a rotating cylinder, where riders stand with their backs against the inner surface of the cylinder (see image). As the cylinder rotates faster, riders get stuck to the wall. The effect is great enough, that in some rides, the floor even drops away. Let’s model the Gravitron as a rotating cylinder with vertical walls. The radius of the cylinder is 5.5 m. At one point during the ride, the speed of the Gravitron is 24 rpm, at which point a rider slides down the wall at constant speed. What is the coefficient of kinetic friction between the rider and the wall?

SEE MORE QUESTIONS