BAIn the figure shown above (problem 4) a force P intersects the X-axis at 4 ftto the right of O. If its moment about A is 180 ft-lb counterclockwise and itsmoment about B is 60 ft-lb clockwise, detemine its y-intercept.

Answered: Image /qna-images/answer/cdb34de3-5c23-4d89-bb73-4477d984ca2d.jpg

Answered: lOCKWIse etermine its y-intercept.

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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Suppose the particles in the preceding problem have masses m1=0.10kg , m2=0.20kg , m3=0.30kg , m4=0.40kg . The velocities of the particles are . (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the tour-particle system about the origin?
A particle has mass 0.5 kg and is traveling along the line x=5.0m at 2.0 m/s In the positive y-direction. What is the particle’s angular momentum about the origin?
A roller coaster has mass 3000.0 kg and needs to make it safely through a vertical circular loop of radius 50.0 m. What is the minimum angular momentum of the coaster at the boom of the loop to make it safely through? Neglect friction on the track. Take the coaster to be a point particle.
A diver off the high board imparts an initial rotation with his body fully extended before going into a tuck and executing three back somersaults before hitting the water. If his moment of inertia before the tuck is 16.9kgm2 and after the tuck during the somersaults is 4.2kgm2 , what rotation rate must he impart to his body directly off the board and before the tuck if he takes 1.4 s to execute the somersaults before hitting the water?
At a particular instant, a 1.0-kg particle’s position is , its velocity is , and the force on it is . (a) What is the angular momentum of the particle about the origin? (b) What is the torque on the particle about the origin? (c) What is the time rate of change of the particle’s angular momentum at this instant?
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?
If a child walks toward the center of a merry-go-round, does the moment of inertia increase or decrease?
A small ball of mass 0.50 kg is attached by a massless sting to a vertical rod that Is spinning as shown below. When the rod has an angular velocity of 6.0 rad/s, the sting makes an angle of 30 with respect to the vertical. (a) If the angular velocity is increased to 10.0 rad/s, what is the new angle of the string? (b) Calculate the initial and final angular momenta of the ball. (c) Can the rod spin fast enough so that the ball is horizontal?
Use the right-hand rule to determine the directions of the angular momenta about the origin of the particles as shown below. The z-axis is out of the page.
A 4.0-kg particle moves in a circle of radius 2.0 m. The angular momentum of the particle varies in time according to l=5.0t2 , (a) What is the torque on the particle about the center of the circle at t=3.4s ? (b) What is the angular velocity of the particle at t=3.4s ?
A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?
A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can the total acceleration of the tether mass combination be zero If the angular velocity Is constant?

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