10.10 ● A cord is wrapped around the rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady horizontal pull of 40.0 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. (a) Compute the angular acceleration of the wheel and the acceleration of the part of the cord that has already been pulled off the wheel. (b) Find the magnitude and direction of the force that the axle exerts on the wheel. (c) Which of the answers in parts (a) and (b) would change if the pull were upward instead of horizontal?
Q: A heavy concrete panel is being lifted into position in a building by means of a crane (see figure…
A:
Q: A cable passes over a pulley. Because the cable grips the pulley and the pulley has nonzero mass,…
A:
Q: A hollow cylinder of mass 40.0 kg, inner radius 50.0 cm and outer radius 65.0 cm rolls without…
A: Given data: Mass of hallow cylinder, m=40.0 kg Inner radius, r=50.0 cm = 0.50 m Outer radius, R=65.0…
Q: A flywheel in the form of a uniformly thick disk of radius 1.78 m has a mass of 25.6 kg and spins…
A: This question can be solved using the formulas: ω = ω0 + αt and τ = Iα The answer is contained in…
Q: Fapp
A: Given data: Applied force, Fapp =9.8N Mass of the wheel m =14 kg The radius of the wheel R=0.23m…
Q: A flywheel has a constant angular deceleration of 2.8 rad/s2. (a) Find the angle through which the…
A:
Q: What is the rotational inertia of a solid iron disk of mass 40.0 kg, with a thickness of 5.00 cm and…
A: The rotational inertia (also known as moment of inertia) of a solid disk is given by the formula: I…
Q: The flywheel of a steam engine runs with a constant angular velocity of 140 rev/min. When steam is…
A: Angular acceleration , α = -1.67 rev/min2 Distance of the particle from the axis , r = 27 cm = 0.27…
Q: A wheel of radius 30.0 cm is rotating at a rate of 4.50 revolutions every 0.0910 s. (a) Through…
A: Dear student The angular velocity of a particle in circular motion is defined in radian/sec. There…
Q: app In the figure, a constant horizontal force F of magnitude 7.2 N is applied to a wheel of mass 13…
A: given applied force(F)=7.2 N mass(m)=13 kg radius(r)=0.62 m acceleration of center of mass (a)=0.43…
Q: A grinding wheel of radius 0.410 m rotating on a frictionless axle is brought to rest by applying a…
A:
Q: in 9.5 s. Find the net external torque that acts on each wheel.
A:
Q: A car has wheels each with a radius of 30 cm. It starts from rest and accelerates uniformly to a…
A: Given, The radius of the wheel,r=30cm Speed, v=15m/s Time, t=8s
Q: A flywheel in the form of a uniformly thick disk of radius 1.53 m has a mass of 60.1 kg and spins…
A: The radius of the disc r=1.53 m. The mass of the disc m=60.1 kg. The initial angular velocity of the…
Q: A wheel 2.07 m in diameter lies in a vertical plane and rotates about its central axis with a…
A: "Since you have posted a question with multiple sub-parts, as per strict guidelines to us we will…
Q: A rigid bearing assembly with a point mass m = 1.15 kg, suspended at the end of a thin rod of length…
A:
Q: The cylindrical head bolts on a car are to be tightened with a torque of 67.3 N · m. If a mechanic…
A: The expression for the torque(τ) can be given as, τ = rF, where r is the distance, and F is the…
Q: When tightening a bolt, you push perpendicularly on a wrench with a force of 161 N at a distance of…
A:
Q: (a) A cord is wrapped around the rim of a wheel 0.250 m in radius, and a steady pull of 40.0 N is…
A:
Q: A uniform, solid sphere of radius 2.00 cm2.00 cm and mass 3.00 kg3.00 kg starts with a purely…
A: Solution: Given that radius r = 2 cm mass m= 3 kg v1 = 3.75 m/s length L = 1.25 m angle = 24.0∘
Q: A flywheel of mass 196 kg has an effective radius of 0.620 m (assume that the mass is concentrated…
A: Mass of flywheel ( M ) = 196 kg Radius of flywheel ( R ) = 0.620 m Time interval ( t ) = 30.0…
Q: A vertical wheel with a diameter of 59 cm starts from rest and rotates with a constant angular…
A: θ=ωit+0.5αt2=0 rad/s14 s+0.57.7 rad/s214 s2=755 rad57.3°1 rad=4.33×104 degrees
Q: eel of radius 0.328 m, which is moving initially at 48.4 m/s, rolls to a stop in 285 m. Calculate…
A: Given Initial velocity u =48.4 m/s Final velocity v =0 Distance S =285 m Moment of inertia I = 1.48…
Q: A flywheel in the form of a uniformly thick disk of radius 2.03 m has a mass of 58.1 kg and spins…
A: Given, Radius of disk 2.03 m and mass is 58.1 kg and angular speed is 179 rpm and stop in 3.50…
Q: ● 9.8 A wheel is rotating about an axis that is in the z-direction. The angular velocity w is -6.00…
A:
Q: When tightening a bolt, you push perpendicularly on a wrench with a force of 166 N at a distance of…
A: Given data: Angle (θ) = 90°, perpendicularly Force (F) = 166 N Distance (r) = 0.140 m Required: The…
Q: A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of…
A:
Q: A solid uniform sphere of mass 2.92 kg and diameter 78.6 cm spins about an axle through its senter.…
A:
Q: Two wheels have the same mass and radius of 4.6 kg and 0.51 m, respectively. One has the shape of a…
A: Given : Wheel's mass m=4.6 kg Wheel's radius r=0.51 m Angular displacement θ=13 rad Time t=9.5 s
Q: A grinding wheel is in the form of a uniform solid disk of radius 6.91 cm and mass 1.96 kg. It…
A: Radius (R) of uniform solid disk = 6.91 cm =…
Q: A wheel of radius 0.136 m is mounted on a frictionless horizontal axle. The rotational inertia of…
A: Solution: Given: r = radius of wheel = 0.136 m I = rotational inertia of wheel = 0.051 kg.m2 m1 =…
Q: 9.15 A high-speed flywheel in a motor is spinning at 500 rpm when a power failure suddenly occurs.…
A: See below
Q: A flywheel in the form of a uniformly thick disk of radius 1.63 m has a mass of 37.1 kg and spins…
A: Given data: The radius of disk flywheel is r=1.63 m. The mass of disk flywheel is m=37.1 kg. The…
Q: A tire is rotating at an angular velocity of 51.6 radians/s. The radius of the tire is 1.9 m. Find…
A: In the non-rotational case, the velocity relation is given by v=dt The linear velocity of a point…
Q: A grinding wheel is in the form of a uniform solid disk of radius 7.07 cm and mass 1.98 kg. It…
A:
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 2 images
- Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.17 kg·m2 about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 489 rev/min. The second disk, with rotational inertia 7.08 kg·m2 about its central axis, is set spinning counterclockwise at 858 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 858 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?To develop muscle tone, a woman lifts a 3.70 kg mass held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. Ignore gravity. (a) What is the angular acceleration if the mass is 24.0 cm from the elbow joint, her forearm having a moment of inertia of 0.250 kg · m2, and the muscle force being 760 N at an effective perpendicular lever arm of 2.50 cm? (b) How much work does she do?Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) 50.74 N. m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) 15.55 rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) 15.44 ]× rad/s²
- A 4kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform rate to a velocity of 10 rad/s in 5 seconds. The rotational inertia of the ball is 0.243 kg*m^2. Calculate the magnitude of the torque on the ball. Answer must use the correct SI units.An 80 cm long thin rod whose axis of rotation is in the center has a mass of 0.142 kg. A 2.5 N force is applied at one end perpendicularly, while a second 1.5 N force is applied 10 cm from the opposite end. Both forces are applied in the same direction. (a) Find the angular acceleration. (b) Determine the force needed for the rod to be in equilibrium, if the third force is applied at a 300 angle halfway between the 2.5 N and the axis of rotation. (72.6; -5.5)The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?
- A constant torque is applied to a rigid wheel whose moment of inertia is 5.0 kg · m2 around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 30.0 rad/s in 12.0 s, what is the applied torque (in N · m)? (Indicate the direction with the sign of your answer.)A wheel of radius 0.35 m rotates in a clockwise sense about a fixed axle with negligible friction at an initial angular speed of 2.6 rad/s. The wheel's mass of 17 kg is concentrated in its rim. You apply a clockwise torque to the rotating wheel by pushing on the rim tangentially with a constant force of 22 N. Find the wheels angular speed, in radians per second, 0.085 seconds after you start pushing on the rim.A uniform spherical shell of mass M = 6.0 kg and radius R = 18.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 3.60×10-3 kg m2 and radius r = 6.0 cm, and its attached to a small object of mass m = 4.0 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h = 1.1 m from rest: Use work - energy considerations
- In the figure, a constant horizontal force The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.82 m/s2. (a) What is the magnitude of the frictional force on the wheel? (b) What is the rotational inertia of the wheel abeut the rotation axis through its center of mass? of magnitude 12 N is applied to a wheel of mass 7.8 kg and radius 0.27 m. app (a) Number Units N 6.2 (b) Number 0.683 Units kg m^2 Click if you would like to Show Work for this question: Open Show Work y Policy © 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc. Version 4.24.20.1A uniform disk of radius 0.507 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.243 N applied at the rim causes an angular acceleration of 0.117 rad/s^2. Find the mass of the disk.A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.107 rad/s². After making 2870 revolutions, its angular speed is 130 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up? (a) Number i 129.848 Units rad/s (b) Number i 1.327 Units S