ListenQ2. Two uniform thin disks A and B have masses of 3.2 kg and 4.1 kg respectively.They are each pinned at their respective centers, and when they roll in contact witheach other, no slipping occurs. The motion is in vertical plane. The dimensions ra12 cm and r2 = 36 cm. At this instant disk A has angular velocity w = 3.8 rad/s and%3Dangular acceleration a = 1.2 rad/s2, both clockwise as shown. Takeg= 9.81 m/s.(1) Determine the magnitude of the angular velocity (in rad/s) of disk B. Your answermust include 2 places after the decimal point.0, a.PA

Answered: Image /qna-images/answer/c7fa0542-b238-4f01-9c96-666ebf2545ad.jpg

Listen Q2. Two uniform thin disks A and B have masses of 3.2 kg and 4.1 kg respectively. They are each pinned at their respective centers, and when they roll in contact with each other, no slipping occurs. The motion is in vertical plane. The dimensions r, = 12 cm and r2 = 36 cm. At this instant disk A has angular velocity w = 3.8 rad/s and %3D angular acceleration a = 1.2 rad/s, both clockwise as shown. Take g = 9.81 m/s?. (1) Determine the magnitude of the angular velocity (in rad/s) of disk B. Your answer must include 2 places after the decimal point. 0, a M •P r2 B A

Listen Q2. Two uniform thin disks A and B have masses of 3.2 kg and 4.1 kg respectively. They are each pinned at their respective centers, and when they roll in contact with each other, no slipping occurs. The motion is in vertical plane. The dimensions r, = 12 cm and r2 = 36 cm. At this instant disk A has angular velocity w = 3.8 rad/s and %3D angular acceleration a = 1.2 rad/s, both clockwise as shown. Take g = 9.81 m/s?. (1) Determine the magnitude of the angular velocity (in rad/s) of disk B. Your answer must include 2 places after the decimal point. 0, a M •P r2 B A

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section: Chapter Questions

Problem 47P: The uniform thin rod in Figure P8.47 has mass M = 3.50 kg and length L = 1.00 m and is free to...

See similar textbooks

Similar questions

The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?
A shaft is turning at 65.0 rad/s at time t = 0. Thereafter, its angular acceleration is given by =10.05.00t where is in rad/s2 and t is in seconds. (a) Find the angular speed of the shaft at t = 3.00 s. (b) Through what angle does it turn between t = 0 and t = 3.00 s?
The uniform thin rod in Figure P8.47 has mass M = 3.50 kg and length L = 1.00 m and is free to rotate on a friction less pin. At the instant the rod is released from rest in the horizontal position, find the magnitude of (a) the rods angular acceleration, (b) the tangential acceleration of the rods center of mass, and (c) the tangential acceleration of the rods free end. Figure P8.47 Problems 47 and 86.
During a certain time interval, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.
A wheel of inner radius r1 = 15.0 cm and outer radius r2 = 35.0 cm shown in Figure P12.43 is free to rotate about the axle through the origin O. What is the magnitude of the net torque on the wheel due to the three forces shown? FIGURE P12.43
The system shown in Figure P13.18 consisting of four particles connected by massless, rigid rods is rotating around the x axis with an angular speed of 2.50 rad/s. The particle masses are m1 = 1.00 kg, m2 = 4.00 kg, m3 = 2.00 kg, and m4 = 3.00 kg. a. What is the rotational inertia of the system around the x axis? b. Using Kr=12I2 (Eq. 13.10), what is the total rotational kinetic energy of the system? c. What is the tangential speed of each of the four particles? d. Considering the system as four particles in motion and using K=i12mvi2, what is the total kinetic energy of the system? How does this value compare with the result obtained in part (b)? FIGURE P13.18
A wheel 1.0 m in diameter rotates with an angular acceleration of 4.0rad/s2 . (a) If the wheel’s initial angular velocity is 2.0 rad/s, what is its angular velocity after 10 s? (b) Through what angle does it rotate in the 10-s interval? (c) What are the tangential speed and acceleration of a point on the rim of the wheel at the end of the 10-s interval?
Suppose when Earth was created, it was not rotating. However, after the application of a uniform torque after 6 days, it was rotating at 1 rev/day. (a) What was the angular acceleration during the 6 days? (b) What torque was applied to Earth during this period? (c) What force tangent to Earth at its equator would produce this torque?
A rotating objects angular position is given by (t) = (1.54t2 7.65t + 2.75) rad, where t is measured in seconds. Find a. the objects angular speed when t = 3.50 s and b. the magnitude of the angular acceleration when t = 3.50 s.
A uniform disk of mass M = 3.00 kg and radius r = 22.0 cm is mounted on a motor through its center. The motor accelerates the disk uniformly from rest by exerting a constant torque of 1.00 Nm. a. What is the time required for the disk to reach an angular speed of 8.00 102 rpm? b. What is the number of revolutions through which the disk spins before reaching this angular speed?
The angular acceleration of a rotating rigid body is given by α = (2.0 − 3.0t) rad/s2 . If the body starts rotating from rest at t = 0 , (a) what is the angular velocity? (b) Angular position? (c) What angle does it rotate through in 10 s? (d) Where does the vector perpendicular to the axis of rotation indicating 0° at t = 0 lie at t = 10 s ?
A disk rotates at constant angular acceleration, from angularposition u1 = 10.0 rad to angular position u2 = 70.0 rad in 6.00 s. Itsangular velocity at u2 is 15.0 rad/s. (a) What was its angular velocityat u1? (b) What is the angular acceleration? (c) At what angularposition was the disk initially at rest? (d) Graph u versus time t andangular speed v versus t for the disk, from the beginning of themotion (let t = 0 then).