Physics please help! check if its correct

A 3.00 kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 8.00 kg cylindrical pulley. The inner diameter of the pulley is 60.0 cm, while the outer diameter is 1.00 m. The system is released from rest, and there is no friction at the axle of the pulley. Find (a) the acceleration of the stone, (b) the tension in the wire, and (c) the angular acceleration of the pulley.

for part a i did
I of the pulley is
I = m*(r1^2 + r2^2)/2)
I = 8*(0.5^2 + 0.3^2)/2)
I =1.36 kgm^2

a = 3*9.81/(3 + 1.36/0.5^2)
a = 3.48 m/s^2 <--- acceleration of the stone

part B
á = a/R = 3.48/0.5 = 6.96 rad/s^2 <--- angular acceleration

Part C
T = mg - ma = 3(9.81-3.48)=18.99 N <--- tension

  1. 👍 3
  2. 👎 3
  3. 👁 3,009
  1. B and C is switched anwsers

    1. 👍 0
    2. 👎 0
  2. The inner radius I assume means that the axle does not spin. Therefore your moment of inertia has a negative, not positive sign
    I = 8*(0.5^2 - 0.3^2)/2)
    I =.64 kgm^2

    1. 👍 1
    2. 👎 0
  3. stone F = m a
    T up
    mg down
    a = (mg-T)/ m = (3*9.81 -T)/3

    wheel Torque = I alpha
    alpha = .5 T/.64
    a = alpha * r
    a = .25 T/.64

    (3*9.81 -T)/3 = .25 T/.64

    solve for T
    go back and solve for a
    and for alpha = a/r

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics/calculus

    A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 12 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 6

  2. Physics

    A 0.28-kg stone is held 1.5 m above the top edge of a water well and then dropped into it. The well has a depth of 4.8 m. (a) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the

  3. physics

    A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, as shown in the figure (see the figure ). The pulley is a uniform disk with mass 10.4 and radius 51.0 and turns on frictionless

  4. Physichs

    Two metal disks, one with radius R1 = 2.40 cm and mass M1 = 0.900 kg and the other with radius R2 = 4.95 cm and mass M2 = 1.50 kg , are welded together and mounted on a frictionless axis through their common center. A light string

  1. Physics help

    A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel? A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel rotates in frictionless bearings about


    A stone thrown from the top of a building is given an initial velocity of 40.0 m/s straight upward. The building is 70.0m high, and the stone just misses the edge of the roof on its way down, determine (A) The time at which the

  3. physics

    The filament in an incandescent light bulb is made from tungsten (resistivity 5.6 x 10-8 Ù·m). The light bulb is plugged into a 120-V outlet and draws a current of 2.36 A. If the radius of the tungsten wire is 0.00464 mm, how

  4. physics

    While standing at the edge of the roof of a building, you throw a stone upward with an initial speed of 6.93 m/s. The stone subsequently falls to the ground, which is 17.1 m below the point where the stone leaves your hand. At

  1. Physics E&M

    A Geiger counter detects radiation such as alpha particles by using the fact that the radiation ionizes the air along its path. A thin wire lies on the axis of a hollow metal cylinder and is insulated from it. View Figure A large

  2. physics

    A thin, light wire 75.8cm long having a circular cross section 0.560mm in diameter has a 25.5kg weight attached to it, causing it to stretch by 1.12mm . what is the stress?

  3. physics

    A stone with a mass of 1.0 kg is tied to the end of a light string which keeps it moving in a circle with a constant speed of 4.0 m/s on a perfectly smooth horizontal tabletop. The radius of the path is 0.60 m. How much work does

  4. physics

    a person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 18 ms. The cliff is 52m above the waters surface. How long does it take for the stone to fall to the water? With what speed does it

You can view more similar questions or ask a new question.