College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center (Figure 1). When his hands and arms are brought in and wrapped around his body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. His hands and arms have a combined mass 8.0 kg. When outstretched, they span 1.6 m ; when wrapped, they form a thin-walled hollow cylinder of radius 26 cm. The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg⋅m2. If his original angular speed is 0.30 rev/s, what is his final angular speed?arrow_forwardThe object shown below is centered on the origin, and has a width of 20 cm in the x direction, 3 cm in the y direction, and 5 cm in the z direction. Around which axis does it have the lowest moment of inertia l?arrow_forwardof Sides a and b has a mass M. Four point-like balls, each of rnass m = each corner of the plate as indicated in the figure. What is the moment of inertia of this object if the axis of M are glued to rotation is through the end of one sidt, like a door, as indicated in the figure by the blue fine? (A) Isoor=M (a² + b²) (B) Isoor= M(a² + b) (C) Idoor M(a² + b*) (D) Isoor = }M(a²+8) (F) Isoor = Ma² %3D (G) Isoor Ma? %3D (H) Idor Ma² A rectangular plate with four umall point-like balls glued to each corner. The blue line represents the axis of rotationarrow_forward
- The moment of inertia of the lower leg and foot about an axis through the knee joint is 0.23 kgm^2. What is the moment of inertia of the leg and foot about the knee joint if a 0.82 kg shoe is worn on the foot? Assume that the shoe's mass is all concentrated in one point 40 cm from the knee. (please report to two decimal places)arrow_forwardThe figure below shows a side view of a car tire before it is mounted on a wheel. Model it as having two sidewalls of uniform thickness 0.600 cm and a tread wall of uniform thickness 2.50 cm and width 19.8 cm. Assume the rubber has a uniform density 1.10 x 10³ kg/m³. Find its moment of inertia about an axis perpendicular to the page through its center. 0.082 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg - m² 33.0 cm 30.5 cm 16.5 cm Sidewall Treadarrow_forwardWhat is the moment of inertia of a circular ring with mass M = 2 kg and radius R = 3 m with respect to the axis perpendicular to its surface and passing through its center.arrow_forward
- Bubba Watson is driving a golf ball off the tee. His downswing takes 0.50 s from the topof the swing until ball impact. At the top of the swing, the club’s angular velocity is zero;at the instant of ball impact, the club’s angular velocity is 30 rad/s. The swing moment ofinertia of the club about the grip is 0.220 kg·m2. What average torque does Bubba exerton the golf club during the downswing? Maybe he will take all of Tiger’s money on theLIV tour....13.2 Nmarrow_forwardCalculate the moment of inertia (in kg-m2) of a skater given the following information. (a) The 64.0 kg skater is approximated as a cylinder that has a 0.140 m radius. kg-m? (b) The skater with arms extended is approximately a cylinder that is 58.0 kg, has a 0.140 m radius, and has two 0.950 m long arms which are 3.00 kg each and extend straight out from the cylinder like rods rotated about their ends. kg-m2arrow_forwardCalculate the moment of inertia of a skater given the following information. (a) The 92.0-kg skater is approximated as a cylinder that has a 0.120-m radius. kg · m2(b) The skater with arms extended is approximately a cylinder that is 86.0 kg, has a 0.120-m radius, and has two 0.850-m-long arms which are 3.00 kg each and extend straight out from the cylinder like rods rotated about their ends.arrow_forward
- 10-105 Determine the moment of inertia of the compos- ite body shown in Fig. P10-105 with respect to the y-axis shown on the figure. The specific weiglıt of the material is 175 lb/ft. 3 in. 8 in. 6 in. 6 in. 6 in. . 6 in. 5 in. 8 in. 5 in. 12 in. 3 in. Fig. P10-105arrow_forwardA uniform thin rod of mass M = 3.55 kg pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass m = 0.291 kg, are attached to the ends of the rod. What must the length L of the rod be so that the moment of inertia of the three-body system with respect to the described axis is I = 0.845 kg-m² ? L = m Larrow_forwardFind the moment of inertia about y-axis if each mass is equal to 1 kg (in kg×m2)arrow_forward
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