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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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
Transcribed Image Text:A solid cylinder of mass 3.1 kg and radius 6.3 cm rolls down an inclined plane of height 4.7 cm
without slipping, then the speed of its center of mass when the cylinder reaches the bottom in (m/s):
(Hint: The following pictures depict the moments of inertia of a solid cylinder about two different axes
and the corresponding formula. You can use the appropriate formula to solve the above question)
Axis
Axis
Solid cylinder
(or disk) about.
central axis
Solid cylinder
(or disk) about
central diameter
7-MR
(e)
1- MR - MI
(d)
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- The uniform solid block in the figure has mass 25.9 kg and edge lengths a = 0.763 m, b-1.40 m, and c=0.114 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation asis Number Unitsarrow_forwardThe 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_forwardPlease help: Find the moment of inertia of the wheel if the block rises to a height of h=6.9 cm before momentarily coming to rest. Express answer with two significant figuresarrow_forward
- Two wheels are connected by a belt that does not slip. The smaller wheel has a diameter D, while the bigger wheel has a diameter that is 4.00 times bigger. Calculate the ratio of the moments of inertia if the two wheels have: i) the same angular momentum about their rotation axes. ii) the same rotational kinetic energy.arrow_forwardA 250-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 9.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude a of the pulley's angular acceleration. rad/s? a = Determine the magnitude of the acceleration a of the descending weight. a = m/s? Calculate the magnitude of the tension T' in the string. T =arrow_forwardCalculate the moment of inertia of a thin rod of mass M and length L about an axis throu the rod at L/3 as shown below. You should see that your result should be the same whether you directly integrate or use the parallel-axis theorem. (You do not nee to enter any units.) L13 Axis -2L/3- 1/9mL^2 kg-m² Submit Answer Incorrect. Tries 4/40 Previous Tries Post Discussion Send Feedbackarrow_forward
- find the angular acceleration. Needs Complete typed solution with 100 % accuracy.arrow_forwardSolid cylinder about axis R A solid cylinder has a mass 2.45kg and a radius 0.746 m. What is its moment of inertia (in unit of kgm2) when it is rotating around its own central axis? (please search your physics text book or other sources for the correct formula for this situation, you lab manual does not necessarily have the formula.)arrow_forwardFind the moment of inertia for a solid sphere that rotates about a point on its surface. a) 3/5 MR^2 b) 3/2 MR^2 c) 5/3 MR^2 d) 7/5 MR^2arrow_forward
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