Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 4.2, Problem 1aT
A ruler is placed on a pivot and held at an angle as shown at right. The pivot passes through the center of the ruler.
Predict the motion of the ruler after it is released from rest. Explain your reasoning.
Check your prediction by observing the demonstration.
1. Is the
What does your answer imply about the net torque on the ruler about the pivot? Explain.
2. What is the direction of the acceleration of the center of mass of the ruler? If
What does your answer imply about the net force acting on the ruler? Explain.
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Instruction: Solve for the following problems. Draw FBD (if necessary) and show your complete solutions.
1. A wheel is rotating about an axis that is in the z-direction. The angular velocity wz is -6.00 rad/s at t=0, increases
linearly with time, and is +8.00 rad/s at t = 7.00 s. We have taken counterclockwise rotation to be positive. (a) Is
the angular acceleration during this time interval positive or negative? (b) During what time interval is the speed
of the wheel increasing? Decreasing? (c) What is the angular displacement of the wheel at t = 7.00 s ?
The disk is moving to the left such that it has an angular acceleration αα = 9 rad/s2rad/s2 and angular velocity ωω = 2 rad/srad/s at the instant shown. It does not slip at AA. Suppose that rrr = 0.4 mm .
Part A.)
Determine the magnitude of the acceleration of point BB.
Express your answer to three significant figures and include the appropriate units.
Part B
Determine the direction of the acceleration of point BB measured clockwise from the positive xx axis.
Express your answer using three significant figures.
thanks for your help! ive been stuck on this problem all day
A hollow sphere with mass M = 3.0 kg, radius R = 15 cm [note units] rolls without slipping down the inclined plane shown above. The cylinder startsfrom rest at a height H=2.0 m. The inclined plane makes an angle = 35o with the horizontal.a. On the figure below, draw and label the forces acting on the sphere as it rolls down the inclined plane Your arrow should begin at the pointof application of each force.
b. Determine the gravitational potential energy of the sphere. Use the point of contact between the sphere and the ground as a referencepoint.
c. Use conservation of energy to determine the linear speed of the sphere at the bottom of the ramp. (e.g. Total Energy at the top of theRamp = Rolling Kinetic Energy at the Bottom of the Ramp + Translational Kinetic Energy at the bottom of the ramp). You will need to usethe fact that sphere is rolling without slipping to determine this.
d. If the sphere slid down the ramp (without friction) rather than rolled, would you expect the…
Chapter 4 Solutions
Tutorials in Introductory Physics
Ch. 4.1 - Draw arrows on the diagram to represent the...Ch. 4.1 - Mark the position of each of the labeled points at...Ch. 4.1 - Suppose the wheel makes one complete revolution in...Ch. 4.1 - Would two observers on either side of a rotating...Ch. 4.1 - The diagrams at right show top and side views of...Ch. 4.1 - In the space at right sketch the position vectors...Ch. 4.1 - Let | in terms of |o| . 1. The wheel is made to...Ch. 4.1 - Suppose the wheel slows down uniformly, so that ||...Ch. 4.1 - A force of magnitude Fo is applied to point M as...Ch. 4.1 - Compare the magnitude of the net torque about the...
Ch. 4.2 - A ruler is placed on a pivot and held at an angle...Ch. 4.2 - Draw a free-body diagram for the ruler (after it...Ch. 4.2 - How would your free-body diagram change if the...Ch. 4.2 - Predict: which spool will reach the floor first....Ch. 4.2 - Obtain two spools and a ring stand. Use the...Ch. 4.2 - Consider the following discussion between three...Ch. 4.2 - Write down Newton’s second law for each spool....Ch. 4.3 - A T-shaped board of uniform mass density has two...Ch. 4.3 - Prob. 1bTCh. 4.3 - Attach day to the bottom left side of the board so...Ch. 4.3 - Prob. 2bTCh. 4.3 - C. Imagine that the T-shaped board (with no clay...
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