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Write down Newton’s second law for each spool. Express your answer in terms of the mas of each spool (m), the acceleration of the center of mass of each spool
Write down the rotational analogue to Newton’s second law for each spool. Express your answer in terms of the relevant rotational quantities, that is, in terms of the
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- The force F = i + 3j + 2k acts at the point (1, 1, 1).(a) Find the torque of the force about the point (2, −1, 5). Careful! The vector r goes from (2, −1, 5) to (1, 1, 1).(b) Find the torque of the force about the line r = 2i − j + 5k + (i − j + 2k)t. Note that the line goes through the point (2, −1, 5).arrow_forwardPLease don't provide handwritten solution.....arrow_forwardI am not sure if my answer is right, can you please double check?arrow_forward
- You are to find the angular acceleration of the seesaw when it is set in motion from the horizontal position. In all cases, assume that m1>m2 and that counterclockwise is considered the positive rotational direction.This time, the swing bar of mass mbarmbar is pivoted at a different point, as shown in the figure.Find the magnitude of the angular acceleration α of the swing bar. Be sure to use the absolute value function in your answer, since no comparison of m1m2 mbar has been made. Express your answer in terms of some or all of the quantities m1 m2 mbar and g abs(). For instance, enter abs(x*y) for |xy|.arrow_forwardWhat am I doing wrong?arrow_forwardFigure X y₁arrow_forward
- Time left 0:56:53 1. For the typical Oar (shown in the figure below) used in rowing boats, select an engineering material that would be lightweight and stiff. It must be strong enough to carry the bending moment exerted by the rower without breaking and it must have the right stiffness. The function is identified to be a beam, loaded in bending. The length L and stiffness S are fixed by the design, leaving the radius R as the only dimensional variable. The mass m of the oar is minimized by choosing materials with large values of the material index. E1/2 %3Darrow_forwardAngular speed (ω) is related to speed (v) as: v = r × ω, where r is radius. Determine the dimension of angular speed ω in terms of [L], [M], [T].arrow_forwardA cord is wrapped around the rim of a solid uniform wheel 0.200 m in radius and of mass 7.20 kg. A steady horizontal pull of 30.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless bearings on a horizontal axle through its center. Part A Compute the angular acceleration of the wheel. Express your answer in radians per second squared. la| = 17.14 rad/s? Part B Compute the acceleration of the part of the cord that has already been pulled off the wheel. Express your answer in radians per second squared. Eνα ΑΣφ ? la| = m/s? + Part C Find the magnitude of the force that the axle exerts on the wheel, Express your answer in newtons. ανα ΑΣφ F = Narrow_forward
- The system is made up of the 1-m, 7.1-kg uniform rod AB and the two uniform disks (each of 0.17 m radius and 1.9 kg mass). If the system is released from rest when = 63°, determine the total external work done to this system when rod AB has just become horizontal. Assume the disks roll without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². B m Ө Your Answer: Answer units Barrow_forwardA uniform disk of mass 19 kg and radius 0.6 m is free to rotated about an axis perpendicular to its center. A constant force of size 165 N acts at the edge of the disk, in a direction tangent to that edge. The force acts until the disk has completed 181 full rotations. What is the angular momentum of the disk after those rotations are complete, in kg m2/s? It could be useful to you to know that the rotational inertia of a uniform disk is 1/2 M R2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forward1. a) Define a holonomic constraint and explain the impact of such constraints on the number of degrees of freedom of a system. Give an example of a non-holonomic constraint. b) Five identical flat circular plates are served on a circular conveyor belt. The plates have mass m, radius 5 cm and moment of inertia Ip about their axis of symmetry. They are free to move under gravity on top of a conveyor belt which has inner radius a, outer radius b and moment of inertia Ic about a vertical axis through its centre. From above, it looks like the diagram below. a The belt is banked at a fixed angle a such that the inner edge is lower than the outer edge. Assuming the conveyor belt rotates freely, how many degrees of freedom does this system have? Find the Lagrangian for the system. Hence find and identify any conserved quanti- ties of the system. 1 1arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning