Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 23, Problem 1CLC
To determine
The redshift
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An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending from the disk's center, as in the figure below. The disk has mass 2.60 kg and radius 0.200 m. Each rod has mass 0.850 kg and is 0.700 m long.
HINT
(a) Find the ceiling fan's moment of inertia about a vertical axis through the disk's center. (Enter your answer in kg • m².)
kg. m²
(b) Friction exerts a constant torque of magnitude 0.113 N m on the fan as it rotates. Find the magnitude of the constant torque provided by the fan's motor if the fan starts from rest and takes 15.0 s and 17.5 full revolutions to reach its maximum speed. (Enter your answer in N. m.)
N.m
A uniform, thin rod hangs vertically at rest from a frictionless axle attached to its top end. The rod has a mass of 0.780 kg and a length of 1.54 m. (Assume a coordinate system where the +y-direction is up and the +x-direction is to the right. The rod is free to swing about the axle in the x-
y plane.)
(a) You take a hammer and strike the bottom end of the rod. At the instant the hammer strikes, the force it applies to the rod is (15.71) N. What is the acceleration (in m/s²) of the rod's center of mass at this instant? (Express your answer in vector form.)
m/s²
a =
(b) What is the horizontal force (in N) that the axle exerts on the rod at this same instant? (Express your answer in vector form.)
F =
N
(c) The rod then returns to hanging at rest. You again strike the rod with the hammer, applying the same force, but now you strike it at its midpoint. What now is the acceleration of the center of mass (in m/s²) at the instant of impact? (Express your answer in vector form.)
m/s²
a =
(d)…
Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 9.00 cm and b = 23.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.)
N.m
10.0 N
30.0%
12.0 N
9.00 N
Chapter 23 Solutions
Universe
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