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 of static friction between the block P and the inclined plane is ì=0.39.

Calculate the value of the mass of block Q, in kg, that is just sufficient to initiate the sliding motion of block P up the inclined plane.

Thanks!

asked by Anonymous
  1. (360Deg/6.28rad) * 0.87rad = 49.9 Deg.

    Wb = mg = 2.75kg * 9.8N/kg = 26.95 N. =
    Wt. of block P.

    Fb = 26.95N @ 49.9 Deg.
    Fp = 26.95*sin49.9 = 20.61 N. = Force
    parallel to incline.
    Fv = 26.95*cos49.9 = 17.36 N. = Force
    perpendicular to incline.

    Fn = Fb2 - Fp - Fs = 0.
    Fb2 - 20.61 - 0.39*17.36 = 0.
    Fb2 - 27.38 = 0.
    Fb2 = 27.38 N. = Force of block Q.

    mg = Fb2 = 27.38.
    m = 27.38/g = 27.38/9.8 = 2.79 kg = Mass 0f block Q.

    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math / Physics

    A block P of mass 3.56 kg is lying on a rough inclined plane of angle θ = 0.73 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 as shown
  2. physics

    Acceleration of a Mass in a Pulley System Block 1 of mass m1 slides on a frictionless plane inclined at angle θ with respect to the horizontal. One end of a massless inextensible string is attached to block 1. The string is wound
  3. physics

    A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at
  4. physics

    A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at
  5. physics

    A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at
  6. physics

    A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at
  7. physics

    A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at
  8. PHYSICS

    A block of mass m1 = 28 kg rests on a wedge of angle θ = 47∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at
  9. physics

    A block of mass m1 = 28 kg rests on a wedge of angle θ = 53∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at
  10. Physics

    A block of mass m1 = 27 kg rests on a wedge of angle θ = 54∘ which is itself attached to a table (the wedge does not move in this problem). An inextensible string is attached to m1, passes over a frictionless pulley at

More Similar Questions