A 1.8 kg bicycle tire with a radius of 32 cm rotates with an angular speed of 155 rpm. Part A Find the angular momentum of the tire, assuming it can be modeled as a hoop. Express your answer using two significant figures. nν ΑΣφ ? L = kg · m? /s

A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque of 12.8 m * N which accelerates it uniformly from rest through a total of 160 revolutions in 16.0 s. Part A What is the mass of the sphere? Express your answer to two significant figures and include the appropriate units. M = O μA Submit Value Units Request Answer ?

2. A yo-yo consists of two solid disks, each of mass M and radius 3R. The two disks are connected by a rod of radius R and negligible mass. Assume the yo-yo starts at rest. a. Use the view on the right to draw the extended free body 3R diagram for the yo-yo. b. What is the moment of inertia of the yo-yo about an axis through its symmetry axis? м м c. Write Newton's 2nd law for the yo-yo. Choose your coordinate system carefully. d. Write the rotational form of Newton's 2nd law for the yo-yo. Treat the center of mass as being at the axis of rotation. Choose the positive direction of the rotation so a is positive. e. The point where the yoyo is momentarily at rest is where the string contacts the rod of the yo-yo. Use this to obtain a relation between the acceleration of the center of mass and the angular acceleration. f. Determine the linear acceleration of the yo-yo.

R M A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle 0 = 30°. The sphere has mass M = 8 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and the plane is u = 0.64. What is the magnitude of the frictional force on the sphere? Ff =

Two masses, m₁ = 31.0 kg and mp = 42.0 kg are connected by a rope that hangs over a pulley (as in the figure(Figure 1)). The pulley is a uniform cylinder of radius R = 0.316 m and mass 3.3 kg. Initially, mis on the ground and mp rests 2.5 m above the ground. igure MA MB 4 2.5 m 1 of 1 Part A If the system is now released, use conservation of energy to determine the speed of mp just before it strikes the ground. Assume the pulley is frictionless. Express your answer using three significant figures and include the appropriate units. V = Di Value Submit μA Drovide Foodhark Request Answer P Pearson Units Review | Constants ?

。 A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.871 m and 2.77 kg, respectively. When the propellor rotates at 529 rpm (revolutions per minute), what is its rotational kinetic energy K? K= 4123.5 Incorrect

HELP WITH THIS PLEASE, DO NOT DO b ONLY THE OTHER

Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute. Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 12 times while accelerating uniformly.  a. Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2).  b. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?

A child with a mass of 50 kg is on a circular frictionless platform with a mass of 100 kg. Treat the platform as a solid cylinder. The platform is initiallyrotating at a rate of 5 rmp (0.52 rad/s). The inner radius of the platform (where the child starts) is 2.0 m. The outer radius is 4.0 m.a. Determine the initial angular momentum of the system in kgm2/s. b. If the child moves from the inner to the outer radius, determine the new angular velocity of the system. c. While at the outside radius, the child catches a 2.0 kg ball travelling at 10 m/s perpendicular to the radius. Determine the final angularmomentum of the system.

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