Question 20. A frictionless pulley has the shape of a uniform solid disk (I = /mr²) of mass 2.50 kg and radius 20.0 cm. A very light wire is wrapped around the rim of the pulley, and a steady downward force of 15.0 N is applied to the wire. What is the magnitude of the angular acceleration of the pulley? Tension = 2.50 kg pulley 15.0 N
Q: A circular disk with a radius of 0.44 m is subject to 2 tangentially applied forces. The disc is…
A: The magnitude of the torque on the object is given by Where r = distance from the axis, F = Force…
Q: A one-piece cylinder has a core section protruding from the larger drum and is free to rotate around…
A:
Q: Consider a merry-go-round with mass 30.00kg and radius 1.40m (the merry-go-round can be modeled as a…
A: Given Mass of the merry-go-round is m=30.00 kg. Radius of the merry-go-round is r=1.40 m. Applied…
Q: A bar on a hinge starts from rest and rotates with an angular acceleration a = 11 + 7t, where a is…
A: Given: The angular acceleration α=11+7t
Q: An Atwood's machine consists of blocks of masses m, = 11.0 kg and m, = 23.0 kg attached by a cord…
A:
Q: F3 F1 F2
A: Given, Radius, r=0.53m F1=14.7N F2=11.1N F3=11.5N Net torque is given by, τnet=∑r×F
Q: A 2.5 kg disk of radius 0.25 m is free to rotate about an axis at its center. What force, exerted…
A:
Q: Don't use chatgpt please
A: The objective of the question is to determine the force exerted by the rod on the can at a specific…
Q: A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is…
A:
Q: a child pedals her tricycle giving her driving wheel an angular speed of w=0.856 rev/s. The total…
A:
Q: A circular disk with a radius of 0.37 m is subject to 2 tangentially applied forces. The disc is…
A: Given data: Radius of circular disk (R) = 0.37 m Force (F1) = 4.9 N, applied at outer edge Force…
Q: m1, ľ1 m2, r2 m3 Shown in the figure are two pulleys and a hanging mass connected by a lightweight…
A:
Q: A thin rod (seesaw) has length L m and mass M kg. It is resting at an angle of 30° with respect to…
A:
Q: 12.0 N 30.0% b 10.0 N 9.00 N The figure shows one cylinder inside another. The inner cylinder has a…
A: Given: mass of inner cylinder, ma=2 kg mass of inner cylinder, ra=0.5 m radius of outer cylinder,…
Q: 1. A spool of wire has a radius of 0.40 m and mass of 4.0 kg. If you pull the wire with a 20.0 N…
A:
Q: A disc with a radius of 0.53 m is fixed to rotate about its center. Three forces act on the object…
A: Given: The force F1 is 14.7 N. The force F2 is 11.1 N. The force F3 is 11.5 N. The angle is 34.3…
Q: 16. An Atwood's machine consists of blocks of masses m1 = 10 kg and m2 = 20 kg attached by a cord…
A:
Q: The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped around its…
A:
Q: A bar on a hinge starts from rest and rotates with an angular acceleration a = 15 + 7t, where a is…
A: Given Data Initial angular velocity of the bar is ω0=0 Angular acceleration of the bar is given as…
Q: In a downtown office building, you notice each of the four sections of a rotating door has a mass of…
A: Mass of each door m= 80 KgAngular acceleration α=0.500 rad/s2Applied Force F=66 N
Q: A uniform spherical shell of mass M-13.0 kg and radius R -0.970 m can rotate about a vertical axis…
A: Given data: The uniform spherical mass, M=13.0 kg The radius, R=0.970 m The small object mass,…
Q: 20. The 57.2cm diameter disk rotates counterclockwise on an axle through its center. F1=42.6N,…
A:
Q: 10
A: Here the pulley is in the shape of a solid circular cylinder, which shall have a moment of inertia=I…
Q: A weight of mass 1.60 kg is suspended by a string wrapped around a pulley wheel, which consists of a…
A:
Q: The wheel and axle have forces applies tangentially as shown in the figure. There is also a…
A: Torque is given by The magnitude of the torque on an object is given by Where r = distance from…
Q: The figure below is for a 50 kg-m² object. o(rad/s) 60.0 40.0 20.0 -20.0 2.0 4.0 t(s) Find the net…
A: Given data: The inertia of object is I=50 kg·m2.
Q: A merry-go-round accelerates from rest to 0.74 rad/s in 33 s. Assuming the merry-go-round is a…
A:
Q: A bowl is rotating on a potter's wheel at constant angular speed as shown. The friction force…
A:
Q: A wrench has five equal forces V, W, X, Y, and Z applied to it. Which two forces produce the same…
A: Torque due to force F at distance d is given by,
Q: 12.0 N 30.0% b 10.0 N 9.00 N The figure shows one cylinder inside another. The inner cylinder has a…
A:
Step by step
Solved in 3 steps with 3 images
- In a downtown office building, you notice each of the four sections of a rotating door has a mass of 90 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.490 rad/s²? 3 WO WA counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 7.00 cm and mass M = 3.00 kg. The spokes have negligible mass. (a) What is the net torque on the system about the axle of the pulley? V N.m to the right along the axis of rotation v magnitude 2.4695 direction (b) When the counterweight has a speed v, the pulley has an angular speed w = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (3.705 Note that your numerical answer is multiplied by the symbol v in the answer box. kg • m)v (c) Using your result from (b) and 7 = L/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) 6.925 The expression for the angular momentum in part (b) has a factor of v. How do you determine dL/dt, from this expression? m/s2The uniform solid block in the figure has mass 38.6 kg and edge lengths a = 0.543 m, b = 1.75 m, and c = 0.118 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number i Units
- A tire is being tested and the machine has it rotating with an angular speed of 0.691 rad/ (CW). An angular acceleration is applied to the tire and after a period of 4.30 s, an angle of 12.7 rad (CW) has been turned through. What is the angular acceleration applied? Select one: a. b. O C. O d. 1.69 rad/2 (CCW) 1.05 rad/52 (CW) 1.69 rad/2 (CW) 1.05 rad/2 (CCW)Question 16 my m, Two blocks are joined by a pulley system (see Figure). The pulley is a solid disk of mass 0.5 kg and radius 179 mm. Assume that the pulley rotates smoothly. If mass 1 is 4.4 kg and mass 2 is 15 kg, what is the angular acceleration of the disk? HINT: the tensions in the horizontal and vertical portions of the rope are not equal. (PUHQ1629)Am1= 19.0-kg object and a m 2 = 9.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of R = 30.0 cm and a mass of M = 3.00 kg as seen in the Figure. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The objects start from rest d = 5.00 m apart. Treat the pulley as a uniform disk, and determine the speeds of the two objects as they pass each other. (Your result must be in units of m /s and include 2 digit after the decimal point. Maximum of 4% of error is accepted in your answer. Take g = 9.80 m/s 2.) Hint: For solid cylinder of disk the moment of inertia about an axis through center of mass is IcOM = MR %3D d.
- A force in the +y direction applied at the point x = 8.1 m, y = 8.1 m gives rise to a torque of 63.7 Nm about the origin. Determine the magnitude of the force. Express your answer in N, to at least one digit after the decimal point. plz help use g = 9.81. Rotational Mechanics and the Atwood's Machine. Consider an Atwood's machine, with two different masses, m1=1.0 kg and m2=2.0 kg suspended from a uniform solid disk pulley with mass = 1.0 kg, by a string passing over the pulley. The pulley has radius r = 10cm and a moment of inertia about its axis of rotation. The string does not slip on the pulley when the masses are released from rest. a) Find the acceleration of the system. b) How does the mass of the pulley impact the acceleration of the system (i.e. would the acceleration be more, less, or equal if ignored)? 2.