Physics

posted by .

A 2.5 kg block sits on an inclined plane with a 30 degree inclination. A light cord attached to the block passes up over a light frictionless pulley at the top of the plane and is tied to a second 2.5 kg mass freely hanging vertically. The coefficients of static and kinetic friction between the block and the plane are 0.5 and 0.3. When released from rest find: the acceleration of the blocks, the tension in the string, Explain why the tension supporting the hanging block is not equal to its weight and find the time for the block on the inclined plane to travel 0.5m up the plane. And find the minimum angle of inclination at which the block on the plane will remain at rest.

  • Physics -

    Coefficient of the kinetic friction
    μ₁ =0.3
    Coefficient of the static friction
    μ ₂ =0.5
    m₁= 2.5 kg, m₂=2.5 kg
    α=30°
    (A)
    m₁a= T- m₁gsinα- F(fr)… (1)
    0=N-m₁gcosα………….(2)
    m₂a= m₂g- T …………….(3)
    F(fr)=μ₁N=μ₁•m₁gcosα
    sum of (1) and (3):
    a(m₁+m₂)=T- m₁gsinα -F(fr)- T+ m₂g=
    = m₂g- m₁gsinα - μ₁m₁gcosα .
    a=g(m₂-m₁sinα - μ₁m₁cosα)/(m₁+m₂) =…
    T= m₂(g-a)
    (B)
    0= T- m₁gsinα- F(fr)… (1)
    0=N-m₁gcosα………….(2)
    0= m₂g - T …………….(3)
    F(fr)=μ₂N= μ₂•m₁gcosα
    (1) +(3)
    0= T- m₁gsinα- F(fr)+ m₂g- T =
    = m₂g- m₁gsinα- μ₂•m₁gcosα
    m₁=m₂ =>
    μ₂•cosα =1-sinα
    Solve for α

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A 3.3 kg wooden block is placed on 22 degree inclined plane and is connected by a string that passes over a light friciton less pulley at the top of the incline and then attached to a hanging 3.0kg block.If the coefficient of static …
  2. Physics

    A 3.3 kg wooden block is placed on 22 degree inclined plane and is connected by a string that passes over a light friciton less pulley at the top of the incline and then attached to a hanging 3.0kg block.If the coefficient of static …
  3. Physics - Newtons laws

    A block (mass m1 = 8kg) is moving on an inclined plane, coefficient of kinetic friction of 0.45, whose angle is 30degrees. This block is connected to a second block (mass m2 = 22kg) by a cord that passes over a small frictionless pulley. …
  4. Physics

    A block P of mass 2.75 kg is lying on a rough inclined plane of angle è=0.87 radians. Block P is attached via a model string that passes over a model pulley to a second block Q of unknown mass M kg hanging vertically. The coefficient …
  5. physics

    The two blocks in the sketch are connected by a light cord over a frictionless pulley and are initially held in place. The block m1 has a mass of 2,00 kg and m2 has a mass of 3,00 kg. The inclined plane is frictionless and the coefficient …
  6. khalsa model senior secondary school

    A block of mass 3kg which is on a smooth inclined plane making an angle of 30° to the horizontal is connected by a cord passing over a light frictionless pulley to a second block of mass 2kg hanging vertically. What is the acceleration …
  7. physics

    A block of mass 3kg which is on a smooth inclined plane making an angle of 30° to the horizontal is connected by a cord passing over a light frictionless pulley to a second block of mass 2kg hanging vertically. What is the acceleration …
  8. Physics

    A 2 kg block is resting on a 37 degree frictionless inclined plane, attached by a string to a frictionless pulley at the top of the plane, over which a second mass of 3.3 kg hangs down. Find the magnitude of the hanging mass’s acceleration.
  9. Physics

    A 9 kg block on a frictionless inclined plane at 40° has a cord attached to a pulley of mass 4 kg and radius 11 cm (see the following figure). (a) What is the acceleration of the block down the plane (in m/s2)?
  10. mechanics

    a ball of mass m1 and ablock of mass m2 are attached by a light weight cord that passes over a frictional pully negligeable mass. the block lies on an inclined plane of an angle teta. draw the free body diagram. find the magnitude …

More Similar Questions