and a mass of 9.00 kg is freely rotating at 60.0 rpm. A chunk of clay with a rotational inertia of 0.0250 kg m2 about the spinning axis is stuck on the wheel. The potter can stop the wheel over 5.00 seconds by pressing a rag against the edge of the wheel. a. What is the total initial angular momentum? (Give your answer in N m s.)total rotational inertia is equal to the rotational inertia of the disk (Idisk = 1/2 MR2) plus the rotational inertia of the clay. b. What frictional torque does the potter apply to bring the wheel to a stop? (Give your answer in N m.)

Three rigid rods connect three small, identical balls in an isosceles triangle as shown. The mass of each rod is negligible. The mass of each ball is 300.0 grams. = 16.70⁰. a. Calculate the moment of inertia of the object for a rotation about the z-axis. Answer: 0.294 kg m². b. Calculate the moment of inertia of the object for a rotation about the y-axis. Answer: 1.034 kg m². 2.30 m 0 1.00 m 1.40 m

A circular bird feeder 19 cm in radius has rotational inertia of 0.12???2. It is suspended by a thin wire and is spinning slowly at 5.6 rpm. A 140-g bird lands on the feeder’s rim, coming in tangent to the rim at 1.1 m/s in a direction opposite the feeder rotation. What’s the rotation rate after the bird lands on the feeder?

A 1.8 kg bicycle tire with a radius of 31 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. L = ΠΙ ΑΣΦ www ? kg m²/s .

Consider the 13.0 kg motorcycle wheel shown in the figure.   Assume it to be approximately an annular ring with an inner radius of  R1 = 0.280 m  and an outer radius of  R2 = 0.420 m.  The motorcycle is on its center stand, so that the wheel can spin freely.   a. If the drive chain exerts a force of 1800 N at a radius of 5.00 cm, what is the angular acceleration (in rad/s2) of the wheel?   b. What is the tangential acceleration (in m/s2) of a point on the outer edge of the tire?   c. How long (in s), starting from rest, does it take to reach an angular velocity of 80.0 rad/s?

An optical disk drive in your computer is spinning at 10,000 rpm (1045 rad/s).  It decelerates to a rest in 0.42 s.   a. Find the rotational inertia of the disk given that its mass is 17 grams. b. Find the magnitude of the torque required to decelerate the disk.

A torque of 55 N·m producing a counterclockwise rotation is applied to a wheel about its axle. A frictional torque of 7 N·m acts at the axle. a. What is the net torque about the axle of the wheel? b. If the wheel is observed to accelerate at the rate of 4 rad/s 2 under the influence of these torques, what is the rotational inertia of the wheel?

An old millstone, used for grinding grain in a gristmill, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.824 rad/s2. A. What is the moment of inertia of the wheel (in kg · m2)? B. What is the mass (in kg) of the wheel? C. The wheel starts from rest and the tangential force remains constant over a time period of 4.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period?

After fixing a flat tire on a bicycle you give the wheel a spin. Its initial angular speed was 5.40 rad/srad/s and it rotated 15.9 revolutions before coming to rest. You may want to review (Pages 305 - 307) . Part A What was its average angular acceleration?         Express your answer using three significant figures.   Part B For what length of time did the wheel rotate?         Express your answer using three significant figures.

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.