Physics

This is the info for the problem: A block of mass M1 = 160.0 kg sits on an inclined plane and is connected to a bucket with a massless string over a massless and frictionless pulley. The coefficient of static friction between the block and the plane is ms = 0.52, and the angle between the plane and the horizontal is q = 47°. Mass M2 can be changed by adding or taking away sand from the bucket.

It has 3 different parts. The first two I was able to solve. Part 3 asks: Suppose the coefficient of kinetic friction between the block and the inclined plane is muk = 0.36. If M2 = 217.1 kg, what is the magnitude of the acceleration of M1?

Can someone please explain how to do this?

  1. 👍 0
  2. 👎 0
  3. 👁 186
  1. Write two equations, which should be the equation of motion of the two separate bodies: block and bucket. There will be an unknown string tension force T is each equation, acting in opposite directions, but the unknown acceleration "a" will be the same for both bodies. Therefore you will have two equations in two unknowns and can solve for a.

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A block of mass M1 = 160.0 kg sits on an inclined plane and is connected to a bucket with a massless string over a massless and frictionless pulley. The coefficient of static friction between the block and the plane is ms = 0.52,

    asked by Lindsay on December 9, 2007
  2. Physics

    A block M1 of mass 20.0 kg sits on top of a larger block M2 of mass 30.0 kg which sits on a flat surface. The kinetic friction coefficient between the upper and lower block is 0.415. The kinetic friction coefficient between the

    asked by Marty on October 2, 2015
  3. physics

    Block A with mass 4.0 kg, sits on a friction less table. Block B, with mass 2.0 kg, hangs down from a rope connected through a pulley to block A. What is the acceleration of block A?

    asked by sea lively on October 25, 2018
  4. Physics

    Block A sits on a horizontal tabletop. There is friction between the surface and Block A. The string passes over a frictionless, massless pulley. Block B hangs down vertically. When the two blocks are released, Block B accelerates

    asked by Emily on February 18, 2016
  5. Physics

    Block A (Mass = 3.146 kg) and Block B (Mass = 2.330 kg) are attached by a massless string Block A sits on a horizontal tabletop. There is friction between the surface and Block A. The string passes overa frictionless, massless

    asked by Quaz on September 24, 2016
  6. Physics

    Block A (Mass = 3.500 kg) and Block B (Mass = 2.450 kg) are attached by a massless string Block A sits on a horizontal tabletop. There is friction between the surface and Block A. The string passes overa frictionless, massless

    asked by ASak on September 24, 2016
  7. Physics

    A block M1 of mass 13.0 kg sits on top of a larger block M2 of mass 23.0 kg which sits on a flat surface. The kinetic friction coefficient between the upper and lower block is 0.440. The kinetic friction coefficient between the

    asked by Sarah on November 2, 2014
  8. Physics

    If the coefficients of static and kinetic friction between a 20 kg block that sits on top of a 100 kg block are both essentially the same value of 0.5, determine the acceleration of each block for a force pulling on A of 60 N.

    asked by OMG_Newton on August 8, 2014
  9. Physics

    Block A sits on a horizontal tabletop. There is friction between the surface and Block A. The string passes over a frictionless, massless pulley. Block B hangs down vertically. When the two blocks are released, Block B accelerates

    asked by Rachel on February 18, 2016
  10. Physics

    Block A (Mass = 2.319 kg) and Block B (Mass = 1.870 kg) are attached by a massless string as shown in the diagram. Block A sits on a horizontal tabletop. There is friction between the surface and Block A. The string passes over

    asked by ASak on September 25, 2016

More Similar Questions