Ask questions and get helpful answers.
Ask a New Question
  1. Questions
  2. physics

A box of mass m rests on a rough, horizontal surface with a coefficient of static friction μs. If a force F with arrowp is applied to the box at an angle θ as shown, what is the minimum value of θ for which the box will not move regardless of the magnitude of F with arrowp? (Use any variable or symbol stated above as necessary

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
joy
1 answer

  1. There is some frictional force that acts against the applied Force F to prevent the motion of the box.
    F can be divided into its vertical component, Fsinθ, and its horizontal component, Fcosθ. The horizontal component is the one that acts against the frictional force and can cause the box to move.

    As F goes on increasing, there will eventually come a time when Fcosθ is larger than the frictional force, for any non-zero value of cosθ.

    But when θ is equal to 90 degrees, then there is no horizontal component, as Fcosθ is equal to zero. Hence, at this angle (when the force is directed into the ground), the box will not move regardless of the value of F, because cosθ is zero.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Arora

Answer this Question

Related Questions

  1. physics

    A 6kg mass is resting on a horizontal surface. it is determined that a force of 20N will start the object sliding and keep it sliding with an acceleration of 0.83. what are the coefficient of static friction and kinetic friction between the mass and the

  2. force

    A 10-kg box is pulled along a horizontal surface by a force of 40N applied at a 30° angle above horizontal. The coefficient of kinetic friction is 0.3. Calculate the acceleration

  3. phys

    A 12-kg crate rests on a horizontal surface and a boy pulls on it with a force that is 30 degree below the horizontal. If the coefficient of static friction is 0.40, the minimum magnitude force he needs to start the crate moving is:

  4. Physics

    A box rests on the back of a truck. The coefficient of static friction between the box and the bed of the truck is 0.300. (a) When the truck accelerates forward, what force accelerates the box? (b) Find the maximum acceleration the truck can have before

  5. Physics

    A 50 Kg box rests on a horizontal surface. The coefficient of Static friction between the box and surface is 0.30. The coeffient of Kinetic friction is 0.20. What is the frictional force on the box if a 140 N horizontal push is applied to it. If a 175 N

  6. Physics

    Two horizontal forces, F1-> and F2-> , are acting on a box, but only F1->is shown in the drawing. F2-> can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the surface. Suppose that

  7. PHYSICS

    Two horizontal forces, F1 and F2, are acting on a box, but only F1 is shown in the drawing. F2 can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the surface. Suppose that = +6.2 N

  8. Physics

    A 39.0 kg box initially at rest is pushed 4.50 m along a rough, horizontal floor with a constant applied horizontal force of 135 N. If the coefficient of friction between box and floor is 0.300, find the following. (a) the work done by the applied force J

  9. physics

    a 50kg box is being pushed along a horizontal surface. the coefficient of kinetic friction between the box and the ground is 0,350.what horizontal force must be exerted on the box for it to accelerate at 1,20m/s square

  10. friction

    Our 10kg mystery box rests on a horizontal floor. The coefficient of static friction is 0.4 and the coefficient of kinetic friction is 0.3. Determine the force of friction acting on the box if a horizontal external applied force is exerted on it of

Still need help?

You can ask a new question or browse existing questions.