**Problem Description:**The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.1 cm and a mass of 16 grams and is initially at rest. Starting at time \( t = 0 \), two forces are to be applied tangentially to the rim as indicated, so that at time \( t = 1.3 \) s the disk has an angular velocity of 260 rad/s counterclockwise. Force \( F_1 \) has a magnitude of 0.105 N. What is magnitude \( F_2 \)?**Diagram Explanation:**- The diagram shows a disk with two forces, \( \vec{F_1} \) and \( \vec{F_2} \), applied tangentially and in opposite directions.- \( F_1 \) is directed counterclockwise and \( F_2 \) is directed clockwise.- The forces are indicated by arrows, showing their direction of application on the rim of the disk.**Solution Input:**- Input box for the value of \( F_2 \).- Dropdown menu to select the unit of measurement (e.g., Newtons, for force).

Answered: Image /qna-images/answer/f5febf09-7112-4645-bca5-fef515575e7e.jpg

The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.1 cm and a mass of 16 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 260 rad/s counterclockwise. Force F1 has a magnitude of 0.105 N. What is magnitude F2? Number i Units

The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.1 cm and a mass of 16 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 260 rad/s counterclockwise. Force F1 has a magnitude of 0.105 N. What is magnitude F2? Number i Units

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 2.58 m and a rotational inertia of 255 kg·m2 about the axis of rotation. A 53.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.18 rad/s when the student starts at the rim, what is the angular speed when she is 1.79 m from the center?
A small 0.400-kg object moves on a frictionless horizontal table in a circular path of radius 3.30 m. The angular speed is 6.63 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 113N, what is the radius of the smallest possible circle on which the object can move?
During the spin cycle the time dependent angular speed of a washing machine drum is given by the equation ω(t) = at + bt2 - ct4 where a = 1.1 rad/s2, b = 0.65 rad/s3 and c = 0.035 rad/s5. At time t = 0 s, a point P on the washer drum is located at θ0 = 1.8 rad. Part (a) Write an equation for the angular acceleration of the drum, as a function of time, in terms of the given parameters. Part (b) What is the angular acceleration, in radians per square second, at time t = 2.2 s? Part (c) Write an equation for the angular position of the point P, as a function of time, in terms of the given parameters. Part (d) What is the angular position of the point P on the drum, in radians, at t = 2.2 s?
A small 0.340-kg object moves on a frictionless horizontal table in a circular path of radius 1.10 m. The angular speed is 7.09 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 108 N, what is the radius of the smallest possible circle on which the object can move? Number Units
A playground merry-go-round of radius 4m has a moment of inertia of 324 kg m² and is rotating at 11 rev/min about a frictionless vertical axle. Facing the axle, a 25.0 kg child hops on and manages to sit down on the edge. What is the new rotational speed of the merry-go-round in rev/min?
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 1.19 m and a rotational inertia of 500 kg·m2 about the axis of rotation. A 65.9 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.09 rad/s when the student starts at the rim, what is the angular speed when she is 0.311 m from the center?
A large turntable rotates about a fixed vertical axis, making one revolution in 6.00 ss. The moment of inertia of the turntable about this axis is 1300 kg⋅m2kg⋅m2. A child of mass 35.0 kgkg, initially standing at the center of the turntable, runs out along a radius. What is the angular speed of the turntable when the child is 2.50 mm from the center, assuming that you can treat the child as a particle?
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 4.08 m and a rotational inertia of 365 kg·m2 about the axis of rotation. A 53.9 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.43 rad/s when the student starts at the rim, what is the angular speed when she is 0.609 m from the center?
A uniform disk of mass m = 1.4 kg and radius R = 25 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 3.5 N, F2 = 3.5 N, F3 = 7.5 N and F4 = 3.5 N. F2 and F4 act a distance d = 2.5 cm from the center of mass. These forces are all in the plane of the disk. m = 1.4 kgR = 25 cmF1 = 3.5 NF2 = 3.5 NF3 = 7.5 NF4 = 3.5 Nd = 2.5 cm Write an expression for the magnitude τ1 of the torque due to force F1. Calculate the magnitude τ1 of the torque due to force F1, in N⋅m. Write an expression for the magnitude τ2 of the torque due to force F2. Calculate the magnitude τ2 of the torque due to force F2, in N⋅m. Write an expression for the magnitude τ3 of the torque due to force F3. Write an expression for the magnitude τ4 of the torque due to force F4. Calculate the magnitude τ4 of the torque due to force F4, in N⋅m. Calculate the angular acceleration α of the disk about its center of mass in rad/s2. Let…
A small object with mass 3.80 kg moves counterclockwise with constant speed 1.70 rad/s in a circle of radius 3.35 m centered at the origin. It starts at the point with position vector 3.35î m. Then it undergoes an angular displacement of 9.25 rad. (a) What is its new position vector? m (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? ---Select--- v at (c) What is its velocity? m/s (d) In what direction is it moving? ° from the +x direction. (e) What is its acceleration? m/s2 (f) Make a sketch of its position, velocity, and acceleration vectors. Choose file No file chosen This answer has not been graded yet. (g) What total force is exerted on the object? N
A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 22.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round (in rev/min)?
A thin rod has a length of 0.369 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.100 rad/s and a moment of inertia of 1.46 x 103 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? idn ry C