An Atwood's machine consists of blocks of masses m, - 12.0 kg and m, = 19.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M= 7.30 kg and radius r= 0.200 m. The block of mass m, is allowed to drop, and the cord turns the pulley without slipping T2 (a) Why must the tension T, be greater than the tension T,? (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s (c) Find the tensions T, and T, N

A person with an axe to grind is using a whetstone. The whetstone is connected to a motor which keeps it rotating at 85 rev/min. The whetstone is a solid cylinder of made of a special type of stone of mass 45 kg and radius 20 cm. The heavy axeblade is being pressed onto the whetstone with a steady force of 25 N directed into the centre of the whetstone. Suddenly, the power to the motor is cut but the person maintains the force of the axe on the whetstone. The coefficient of kinetic friction between the axe and the stone is 0.60. The moment of inertia of a cylinder about it's centre of mass is I = ½MR2. (a) Calculate the torque of the frictional force on the wheel. (b) Calculate the total angle through which the wheel turns from the time the power goes off to the time the whetstone stops rotating. (c) How long does it take for the wheel to stop after the power outage?

An Atwood machine is constructed using twowheels (with the masses concentrated at therims). The left wheel has a mass of 2 kg andradius 23.1 cm. The right wheel has a mass of2.1 kg and radius 30.77 cm. The hanging masson the left is 2 kg and on the right 1.69 kg.m3m1m4m2What is the acceleration of the hangingmass on the left? Use down as the positive direction. The acceleration of gravity is9.8 m/s2.Answer in units of m/s2.

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 car accelerates uniformly from rest and reaches a speed of 22.4 m/s in 8.92 s. Assume the diameter of a tire is 57.8 cm. (a) Find the number of revolutions the tire makes during this motion, assuming that no slipping occurs. rev (b) What is the final angular speed of a tire in revolutions per second? rev/s

A centrifuge rotor rotating at 9300 rpm is shut off and is eventually brought uniformly to rest by a frictional torque of 1.66 m⋅N. If the mass of the rotor is 4.58 kg and it can be approximated as a solid cylinder of radius 0.0440 m, through how many revolutions will the rotor turn before coming to rest? Express your answer to three significant figures.   How long will it take? Express your answer to three significant figures and include the appropriate units.

An old vinyl record is a thin plastic disk of radius 0.25 m and mass 126 g. It is freely rotating at 45 rev/min. You are able to stop the record from rotating in 6 s by pressing your finer against the rim and exerting a radially directed force of 9 N. (Recommendation: If you don't know what a vinyl record is, please do a Google search for an image to help your understanding.) What is the coefficient of kinetic frictions between the record and your finger??

An Atwood's machine consists of blocks of masses m₁ = 13.0 kg and m₂ = 19.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 6.80 kg and radius r = 0.200 m. The block of mass m₂ is allowed to drop, and the cord turns the pulley without slipping. M T₁ T₂ Q (a) Why must the tension T₂ be greater than the tension T₁? This answer has not been graded yet. (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s² (c) Find the tensions T₁ and T₂- T₁ = T₂ =

An Atwood's machine consists of blocks of masses m₁ = 13.0 kg and m₂ = 24.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 7.60 kg and radius r = 0.200 m. The block of mass m., is allowed to drop, and the cord turns the pulley without slipping. M T2 Q (a) Why must the tension 7₂ be greater than the tension 7₁? This answer has not been graded yet. (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s² (c) Find the tensions T, and T₂. T₁ = T2₂ =

A mass m1 (3.0 kg) is connected by a light string that passes over a pulley of mass M ( 4.0 kg) to a mass m2 (2.0 kg) sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25 cm and a moment of inertia of 2 MR2. The angle is 60 degrees, then what is the Ma Scceleration of m1? m1