physics

A block of mass m rests on a smooth plane of a wedge which is inclined at angle of θ to the horizontal. The wedge is accelerating to the left such that the block does not slide down. Derive an expression for the normal reaction force on the block and the acceleration of the wedge.

Ans given: normal reaction force = mg / cos θ and acceleration = g tan θ.

  1. 👍 0
  2. 👎 0
  3. 👁 198
  1. As I read your question, the wedge is moving such that it cancels the downward graviith force on the block.
    Downward force on block due to gravity=mg*sinTheta
    upward force along the plane due to wedge moving=ma*cosTheta
    set them equal
    ma*cosTheta=mg*sinTheta
    a=g*tanTheta
    Downward force: I don't know which force you want here.

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A block of mass 0.5 kg rests on a smooth inclined plane. It is then pushed by a horizontal force of 16N. When the block has displaced 5m along the inclined plane. What would be the speed of the block if the plane is rough and a

    asked by Alex on December 5, 2010
  2. Physics

    A block of mass 0.4 kg rests on the inclined surface of a wedge of mass 1.7 kg. The wedge is acted upon by a horizontal force F~ and slides on a frictionless surface. The acceleration of gravity is 9.81 m/s2. If the coefficient of

    asked by Amanda and Leah on October 8, 2012
  3. Physics

    A block of mass 0.40 kg rests on the inclined surface of a wedge of mass 7.0 kg. The wedge is acted on by a horizontal force F with arrow and slides on a frictionless surface. a)If the coefficient of static friction between the

    asked by John Smith on October 17, 2014
  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 the top

    asked by radjish on October 8, 2013
  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 the top

    asked by radjish on October 8, 2013
  1. 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 the top

    asked by Anonymous on October 8, 2013
  2. 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 the top

    asked by matt on October 9, 2013
  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 the top

    asked by matt on October 9, 2013
  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 the top

    asked by Anonymous on October 9, 2013
  5. physics (elena)

    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 the top

    asked by Anonymous on October 9, 2013

More Similar Questions