University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 9, Problem Q9.16DQ
In part (d) of Table 9.2, the thickness of the plate must be much less than a for the expression given for I to apply. But in part (c), the expression given for I applies no matter how thick the plate is. Explain.
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A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire.
Let us first derive the expression for the tension.
By Newton's First Law
ΣF =
the components of force that makes this so is
ΣF = T - = 0
Simplifying this results to
T = g/(ϕ)
Analyzing the figure above, we arrive at
(ϕ) = sqrt( 2 + ) / ( / + )
By substitution, we arrive at the following:
T = ( + 2 ) g / ( sqrt ( 2 + ) )
If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to
T = 0.370 N
A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire.
Let us first derive the expression for the tension.
By Newton's First Law
ΣF =
the components of force that makes this so is
ΣF = T - = 0
Simplifying this results to
T = g/(ϕ)
Analyzing the figure above, we arrive at
(ϕ) = sqrt( 2 + ) / ( / + )
By substitution, we arrive at the following:
T = ( + 2 ) g / ( sqrt ( 2 + ) )
If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to
T = 0.370 N
You have three identical, uniform, square pieces of wood, each with side length L. You stack the three pieces of wood at the edge of the horizontal top of a table. The first block extends a distance L/4 past the edge of the table. The next block extends a distance L/4 past the edge of the first block, so a distance L/2 past the edge of the table. The third block extends a distance L/4 past the edge of the block beneath it, so 3L/4 past the edge of the table. The stack is unstable if the center of mass of the stack extends beyond the edge of the table.Calculate the horizontal location of the center of mass of the three-block stack. Suppose that the origin of the horizontal x-axis is at the edge of the table, and the x-axis points toward the table's center.
Chapter 9 Solutions
University Physics (14th Edition)
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