Calculate the net torque (magnitude and direction) on the beam in the figure below about the following axes. 30% 25 N 45° C 20° 2.0 m 10 N 4.0 m 30 N (a) an axis through O perpendicular to the page magnitude direction The response you submitted has the wrong sign. N · m counterclockwise ◇ (b) an axis through C perpendicular to the page magnitude direction The response you submitted has the wrong sign. N⚫ m counterclockwise ✰

Calculate the net torque (magnitude and direction) on the beam in the figure below about the following axes. 30% 25 N 45° C 20° 2.0 m 10 N 4.0 m 30 N (a) an axis through O perpendicular to the page magnitude direction The response you submitted has the wrong sign. N · m counterclockwise ◇ (b) an axis through C perpendicular to the page magnitude direction The response you submitted has the wrong sign. N⚫ m counterclockwise ✰

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 84AP: A proton is accelerated in a cyclotron to 5.0106m/s in 0.01 s. The proton follows a circular path....

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A proton is accelerated in a cyclotron to 5.0106m/s in 0.01 s. The proton follows a circular path. If the radius of the cyclotron is 0.5 km, (a) What is the angular momentum of the proton about the center at its maximum speed? (b) What is the torque on the proton about the center as it accelerates to maximum speed?
Consider again the two wind turbines in Problem 32. a. At what point along the 40-m blade would the angular speed of thepoint be the same as the angular speed at the end of the 20-mblade? Explain your answer. b. At what point along the 40-mblade would the translational speed of the point be the same asthe speed at the end of the 20-m blade? Explain your answer.
An electric food processor comes with many attachments forblending and slicing food. Assume the motor maintains thesame angular speed for all the various attachments. The largestattachment has a diameter of 12.0 cm, and the smallest has a diameter of 5.00 cm. Find the ratio of the translational speeds of points on the edges of each attachment.
If AB=AB, what is the angle between A and B?
Review. A small object with mass 4.00 kg moves counterclockwise with constant angular speed 1.50 rad/s in a circle of radius 3.00 m centered at the origin. It starts at the point with position vector 3.00im. It then undergoes an angular displacement of 9.00 rad. (a) What is its new position vector? Use unit-vector notation for all vector answers. (b) In what quadrant is the particle located, and what angle does its position vector make with the positive x axis? (c) What is its velocity? (d) In what direction is it moving? (e) What is its acceleration? (f) Make a sketch of its position, velocity, and acceleration vectors. (g) What total force is exerted on the object?
(a) Calculate the rotational kinetic energy of Earth on its axis. (b) What is the rotational kinetic energy of Earth in its orbit around the Sun?
An electric sander consisting of a rotating disk of mass 0.7 kg and radius 10 cm rotates at 15 rev/sec. When applied to a rough wooden wall the rotation rate decreases by 20 . (a) What is the final rotational kinetic energy of the rotating disk? (a) How much has its rotational kinetic energy decreased?
Gravity is an example of a central force that acts along the line connecting two spherical masses. As a planet orbits its sun, (a) how much torque does the suns gravitational force exert on the planet? (b) What is the change in the planets orbital angular momentum?
The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?
Problems 62 and 63 are paired. 62. C A disk is rotating around a fixed axis that passes through its center and is perpendicular to the face of the disk. Consider a point on the rim of the disk (point R) and another point halfway between the center and the rim (point H) at one particular instant. a. How does the angular speed v of the disk at point H compare with the angular speed of the disk at point R? b. How does the tangential speed of the disk at point H compare with the tangential speed of the disk at point R? c. Suppose we pick a point H on the disk at random (by throwing a dart, for example), and we compare the speeds at that point with the speeds at point R. How will the answers to parts (a) and (b) be different? Explain.
Suppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid disk). (a) What torque is exerted? (b) What is the angular acceleration assuming negligible opposing friction? (c) What is the angular acceleration if there is an opposing frictional force of 20.0 N exerted 1.50 cm from the axis?
At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular velocity in revolutions per second?