A uniform disk of mass m = 2.4 kg and radius R = 12 cm can rotate about anaxle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 =F,8.5 N, F2= 1.5 N, F3 = 8.5 N and F4= 6.5 N. F2 and F4 act a distance d = 4.5 cm from the center ofmass. These forces are all in the plane of the disk.d.Randomized Variablesm = 2.4 kg45°R= 12 cm53F1 = 8.5 NF2 = 1.5 NF3= 8.5 NF4= 6.5 Nd= 4.5 cmPart (a) Write an expression for the magnitude 7, of the torque due to force F1.T] = F1 R V Correct!Part (b) Calculate the magnitude t, of the torque due to force F1, in N·m.Tj = 1.02 V Correct!Part (c) Write an expression for the magnitude 12 of the torque due to force F2.Part (d) Calculate the magnitude t, of the torque due to force F2, in N·m.Part (e) Write an expression for the magnitude t3 of the torque due to force F3.T3 = 0Correct!Part (f) Write an expression for the magnitude t4 of the torque due to force F4.Part (g) Calculate the magnitude t4 of the torque due to force F4, in N m.Part (h) Calculate the angular acceleration a of the disk about its center of mass in rad/s². Let the counter-clockwise direction be positive.a =

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

A uniform disk of mass m = 2.4 kg and radius R= 12 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F, = 8.5 N, F,= 1.5 N, F3= 8.5 N and F4= 6.5 N. F2 and F4 act a distance d = 4.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 2.4 kg 45° R= 12 cm 53 F, = 8.5 N F2= 1.5 N F3= 8.5 N F4= 6.5 N d= 4.5 cm Part (a) Write an expression for the magnitude 7, of the torque due to force Fj. T = F1 R VCorrect! Part (b) Calculate the magnitude 7, of the torque due to force F, in N m. T = 1.02 VCorrect! Part (c) Write an expression for the magnitude 72 of the torque due to force F2. Part (d) Calculate the magnitude t, of the torque due to force F, in N m. Part (e) Write an expression for the magnitude 73 of the torque due to force F3. T3 =0 V Correct! Part (f) Write an expression for the magnitude t, of the torque due to force F4. Part (g) Calculate the magnitude t4 of the torque due to force F4, in N m. Part (h) Calculate the angular acceleration a of the disk about its center of mass in rad/s. Let the counter-clockwise direction be positive. a =

A uniform disk of mass m = 2.4 kg and radius R= 12 cm can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F, = 8.5 N, F,= 1.5 N, F3= 8.5 N and F4= 6.5 N. F2 and F4 act a distance d = 4.5 cm from the center of mass. These forces are all in the plane of the disk. Randomized Variables m = 2.4 kg 45° R= 12 cm 53 F, = 8.5 N F2= 1.5 N F3= 8.5 N F4= 6.5 N d= 4.5 cm Part (a) Write an expression for the magnitude 7, of the torque due to force Fj. T = F1 R VCorrect! Part (b) Calculate the magnitude 7, of the torque due to force F, in N m. T = 1.02 VCorrect! Part (c) Write an expression for the magnitude 72 of the torque due to force F2. Part (d) Calculate the magnitude t, of the torque due to force F, in N m. Part (e) Write an expression for the magnitude 73 of the torque due to force F3. T3 =0 V Correct! Part (f) Write an expression for the magnitude t, of the torque due to force F4. Part (g) Calculate the magnitude t4 of the torque due to force F4, in N m. Part (h) Calculate the angular acceleration a of the disk about its center of mass in rad/s. Let the counter-clockwise direction be positive. a =

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 circular-shaped object of mass 9 kg has an inner radius of 7 cm and an outer radius of 28 cm. Three forces (acting perpendicular to the axis of rotation) of magnitudes 13 N, 22 N, and 13 N act on the object, as shown. The force of magnitude 22 N acts 33◦ below the horizontal. Find the magnitude of the net torque (units Nm) on the wheel about the axle through the center of the object.
A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.
Three children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m, and is spinning at 22 rpm. The children have masses of 20.4 kg, 26 kg, and 35 kg. M = 96 kgm1 = 20.4 kgm2 = 26 kgm3 = 35 kgr = 1.1 mf = 22 rpm A. What is the moment of inertia of the merry-go-round plus the children in kg⋅m2? B. If the child who has a mass of 26 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2? C. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?
Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of 7.48 rad/s. The mass m of each object and its perpendicular distance r from the z axis are as follows: (1) m1 = 7.80 kg and r1 = 5.20 m, (2) m2 = 3.10 kg and r2 = 2.90 m, (3) m3 = 3.50 kg and r3 = 4.70 m. Find the tangential speed of (a) object 1, (b) object 2, and (c) object 3. (d) Determine the total kinetic energy of this system using the expression (e) Find the rotational kinetic energy of the system using the relation to verify that the answer is the same as that in (d).
The two blocks are connected by a massless rope that passes through a pulley. Mass of first block is m1 = 1 kg, mass of the second block is m2= 5 kg. Mass of the pulley is M = 2 kg. Radius of the pulley is R= 10 cm. First block is placed on the 30 incline and the second block is hanging above the table at the height of 40 cm. Then, the system is released and the first block starts sliding up the incline and the second block starts falling toward the table. a) forces that apply to the pulley. b) pulley. Consider the pulley to be a disc and use disc's moment of inertia(/ = MR?/2) c) acceleration of the blocks. Draw the FBD for both blocks and draw separately the Write down equations of motion for the blocks and Using the equations from part (b) to calculate the Finally, find the velocity that the second block will d) acquire just before hitting the table using energy. m1 m2
The attached drawing shows two identical systems of objects, each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page but it is located at different places as shown. The same magnitude of Force is applied to the same ball as indicated in the attached drawing. The masses of the balls are m1 = 9.5 kg; m2 = 6.2 kg; m3 = 7.3 kg. The magnitude of the force = 444N (a) For each of the two systems determine the moment of Inertia about the given axis of rotation (b) Calculate the torque, magnitude and direction, acting on each system (c) Both systems start from rest and the direction of the force moves with the system and always points along the 4.00 meter rod. What is the angular velocity of each system after 5.03 seconds
A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm. A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm. If there's no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk =MR for rotation about its center of mass parallel to the z-axis. %3D Ihemisphere = MR for rotation about its center of mass parallel to the z-axis. Edit View Ansert Format Tools Table COREI
A disk with uniform density and radius 0.551 m used to weigh 20.22 kg, but then a hole was punched out. The black arrow in the image above shows the axis of rotation. The hole has radius 00753 m, and has its center 0.103 m away from the center of the disk. What is the înoment of inertia of the disk with a hole? (Hint: only a scientist could call a hole negative mass! Find the mass taken away based on hole size and disk) Answer: Check Choose...
Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 21.3 rpm. The children have masses of 17.4, 28.5, and 38.8 kg. If the child who has a mass of 38.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?
The angular momentum of a spinning wheel is 218 kg·m2/s. After application of a constant braking torque for 2.30 s, it slows and has a new angular momentum of 115 kg·m2/s. What is the torque applied? If the applied torque is in the direction of the rotation of the wheel, enter a positive value and if the applied torque is opposite to the rotation of the wheel, enter a negative value.
An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8 kg · m2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45° with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5 kg · m2 ?
A bowling ball has radius 11 cm and mass 7.25 kg. Assuming it to be a sphere of uniform density, what is the ball's angular momentum (with respect to its own axis) as it rolls at 8.0 m/s? 3.19 Js 1.96 Js 6.37 Js 4.48 Js 2.55 Js