The constant tensions of 200 N and 160 N are ap- plied to the hoisting cable as shown. If the velocity v of the load is 2 m∕s down and the angular velocity ? of the pulley is 8 rad∕s counterclockwise at time t = 0, determine v and ? after the cable tensions have been applied for 6.5 s. Note the independence of the results.
Q: A 50kg uniform disk with a radius of 180mm is rolling down a 20 degree incline. This wheel has a…
A:
Q: For this question consider a spherical shell that has a radius R = 2.91 m, and a mass M = 0.85 kg. A…
A:
Q: A wheel with moment of inertia, I = (3⁄4) mR2 of radius 0.50 m and a mass of 0.30 kg is released…
A:
Q: A certain merry- go-round is accele rated uniformiy from rest and atains an angular speed 1.2 rad ls…
A:
Q: A small ball with mass 1.30 kg is mounted on one end of a rod0.780 m long and of negligible mass.The…
A:
Q: A potter’s wheel—a thick stone disk of radius 0.500 m and mass 100 kg—is freely rotating at 50.0…
A: Given Data: The radius of a stone disk is, R=0.500 m The mass of a disk is, m=100 kg The initial…
Q: (b) A grindstone in the shape of a solid disk with diameter 0.520 m and a mass of 50.0 kg is…
A: Given,d=0.520 mm=50 kgω0=850 rev/minF=160 N
Q: In the figure, the inclined surface is smooth, the cable is tangent to the wheel. Determine the…
A:
Q: A cylindrical spool with mass m, radius R and moment of inertia Icm about its axis, is being pulled…
A: Given data The mass of the cylindrical spool is m The radius of the cylindrical spool R The moment…
Q: A model airplane with mass 0.750 kg is tethered by a wire sothat it flies in a circle 30.0 m in…
A:
Q: a cylinder of mas m and radius R has amoment of inertia of 1/2 mr2. the cyinder is released from…
A: (given) m is the mass of a cylinder, R is the radius of the cylinder, h is the height of cylinder on…
Q: 8. A rod of length L and mass M is balanced in a vertical position at rest. The rod tips over and…
A: Given Length of rod = L Mass of rod = M We have to find linear acceleration, angular acceleration…
Q: The moment of inertia of the wheel is 8.0 kg m2. Its radius 1s 40 cm. Find the angular acceleration…
A:
Q: Find τp,w, the torque about the pivot due to the weight w of the smaller child on the seesaw.…
A: HERE WE NEED TO FIND THE TORQUE ABOUT PIVOT torque(τ)=r×Fτ=rFsinθr distance from hingeF is forceθ is…
Q: A hollow cylinder (hoop) is rolling on a horizontal surfaceat speed v= 3.0 m/s when it reaches a 15°…
A:
Q: A disk of radius 25.0 cm is free to turn about an axleperpendicular to it through its center. It has…
A: Part-a Given: The radius of the disk, r = 25 cm. The function of acceleration, a = At. The…
Q: A 255-lbf block is suspended from an inextensible cable which is wrapped around a drum of 1.75-ft…
A:
Q: The angular velocity of a wheel rotating on a horizontalaxle points west. In what direction is the…
A: The equation relating the angular velocity isv=w x rr=radiussw=angular speedv=-i∧xj∧ =-k∧∴ Linear…
Q: Don't use chat gpt It
A: (a) The tension acting upwards on 𝑚1(𝑇1) is not the same as the tension acting upwards on…
Q: Two buckets of mass m¡ = 21.1 kg and m2 = 13.1 kg attached to the ends of a massless rope which…
A: Given:- m1 = 21.1 kg m2 = 13.1 kg The mass of pully mp = 9.13 kg The radius of the pully rp =…
Q: Two gerbils run in place with a linear speed of 0.55 m>s onan exercise wheel that is shaped like…
A:
Q: Express acceleration of as a function of the listed components
A: the values provided in the question are as follows- mass = m1 and m2 friction= u for calculating…
Q: At the local playground, a 21-kg child sits on the right end ofa horizontal teeter-totter, 1.8 m…
A:
Q: In the Atwood Machine shown, the pulley is a solid cylinder of mass m. Find the ratio of tensions in…
A: Basic Details The acceleration of the system is the ratio of the total force to that of the total…
Q: Figure illustrates an Atwood’s machine. Findthe linear accelerations of blocks A and B, theangular…
A: For mass B, TB-mBg=mBa For mass A, mAg-TA=mAa Using the expression for torque,…
Q: leulaté the linear speed of the tip. 3. A gyroscope slows from an initial rate of 32.0 rad/s at a…
A: Part (a): The angular acceleration of the gyroscope is,
Q: F1 30° A 15° 15° В 30° F1
A:
Q: A hollow ball of mass Mand radius Ris released from rest at the top of a bumpy track. The starting…
A: Given; Mass of the ball is M Radius of the ball is R Initial height is H
Q: A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with…
A: Given data: The mass of the cylinder is M. The applied horizontal force is F. Let, R is the radius…
Q: Find the net torque on the wheel in the figure below about the axle through O, taking a = 13.0 cm…
A: We are given the forces acting. We are also given the radius of outer and inner circle. We find the…
Q: The blades of the portable fan generate a 1.0-lb thrust T as shown. Compute the moment Mo of this…
A:
The constant tensions of 200 N and 160 N are ap- plied to the hoisting cable as shown. If the velocity v of the load is 2 m∕s down and the
Step by step
Solved in 2 steps with 1 images
- Find the net torque on the wheel in Figure about the axle through O, taking a=10.0 cm and b=25.0 cm.phyA rounded stone of mass 3.0 kg and radius 0.08 m starts from rest at the top of a ramp, inclined 28°, and rolls to the bottom without slipping. (For the stone I = 0.7MR) The upper end of the ramp is 4.4 m higher than the lower end. Find the linear velocity of the stone when it reaches the bottom of the ramp? (g = 9.8 m/s) O 92.4 m/s O 15.4 m/s O64.68 m/s 4.45m/s O7.12 m/s
- A hollow, spherical shell with mass 3.00 kg rolls without slipping down a 39.0 ∘ slope. (a)Find the acceleration. (b)Find the friction force. (c)Find the minimum coefficient of static friction needed to prevent slipping.A large grinding wheel in the shape of a solid cylinder ofradius 0.330 m is free to rotate on a frictionless, vertical axle.A constant tangential force of 250. N applied to its edge causesthe wheel to have an angular acceleration of 0.940 rad/s2. (a) What is the moment of inertia of the wheel? (b) What isthe mass of the wheel? (c) If the wheel starts from rest, whatis its angular velocity after 5.00 s have elapsed, assuming theforce is acting during that time?A car initially traveling at 29.0 m/s undergoes a constant negativeacceleration of magnitude 1.75 m/s2 after its brakes areapplied. (a) How many revolutions does each tire make beforethe car comes to a stop, assuming the car does not skid andthe tires have radii of 0.330 m? (b) What is the angular speedof the wheels when the car has traveled half the total distance?
- A potter’s wheel having a radius of 0.50 m and a momentof inertia of 12 kg . m2 is rotating freely at 50 rev/min. Thepotter can stop the wheel in 6.0 s by pressing a wet rag againstthe rim and exerting a radially inward force of 70 N. Find the effective coefficient of kinetic friction between the wheel andthe wet rag.A 2.05 kg mass is attached to a light cord that is wrapped around a pulley of radius 4.25 cm, which turns with negligible friction. The mass falls at a constant acceleration of 3.10 m/s?. Find the moment of inertia of the pulley?A hollow, spherical shell with mass 3.00 kg rolls without slipping down a 36.0 ∘slope. Find the acceleration. Find the friction force. Find the minimum coefficient of static friction needed to prevent slipping.
- An armusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is hetd up against the wall even when the floor is removed. The coetficient of static tuetion benween the person and the wall is , = 0.3 and the radius of the drum is R= 2m. (a) Find wmin, the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed, (hint: when the floor is removed, the person is held up by the static trictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in ta) (e) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the dium had constant angular acceleration. Find the number of rotations made by the person within this time.A stone is suspended from the free end of a wire that is wrapped aroundthe outer of a pulley as shown. The pulley is a solid cylinder with mass 10.0 kgand radius 30.0 cm. You measure that the stone travels 12.6 m in the first 3.00s starting from rest. What is (a) the tension in the wire and (b) the mass of thestone?Four particles, each of mass,0.20 kg, are placed at the vertices of asquare with sides of length 0.50 m.Theparticles are connected by rods of negligiblemass. This rigid body can rotatein a vertical plane about a horizontalaxis A that passes through one of theparticles. The body is released fromrest with rod AB horizontal .(a) What is the rotational inertia of thebody about axis A? (b) What is the angularspeed of the body about axis Awhen rod AB swings through the verticalposition?