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6.Scenario: A chair with a mass of 20.0 kg is attached to one end of a frictionless pulley system via a ...

a strong massless rope. The other end of the rope is attached to a steel water tank sitting on a flat horizontal concrete surface (see the image to the right). The coefficient of static friction between steel and concrete is 0.45 and the coefficient of kinetic friction between the surfaces is 0.30. The water tank, which is full of water, has sprung a leak. The combined mass of the water and the tank is 500 kg. This mass slowly decreases as the water leaks from the hole. You (i.e. your entire mass) are sitting at rest in the seat. You and the seat will remain at rest as long as the force of static friction is strong enough to hold you. Task: LET [DOWN] and [RIGHT] be positive. Using your knowledge of physics, determine the following: Draw the FBD of the system of you and the chair while at rest. Using the LET statement above, write out the net force equation. [2] Draw the FBD of the system of the water tank at rest on the flat horizontal surface. Using the LET statement above, write out the net force equations for both the vertical and horizontal planes. [3] Using the net force equations, determine the minimum mass of water that must be lost (i.e. leaked out) from the water tank in order for you and the seat to begin falling? [4] As soon as the chair begins to move, static friction between the steel tank and concrete surface becomes kinetic friction. Determine the magnitude of the kinetic friction. [3] Using Newton’s 2nd law, determine the acceleration of the system at the instant that the static friction becomes kinetic friction. [6]
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Frequently Asked Questions



What is the equation for static friction?


The force that keeps object at rest is known as static friction. It is equal to the product of normal force and coefficient of static friction.
Equation for static friction = Normal force Coefficient of static friction



What is the formula of static friction?


Formula: Fs N μs
Where N is normal force and sis coefficient of static friction



How do you solve for static frictional force?


Static frictional force can be calculated by using normal force and coefficient of static friction.
        Fs=N μs
Let Normal force = 50 N
Coefficient of static friction μs= 0.2
Plugging value of N and μs in the formula we get static frictional force.
Fs=N μs
  = 500.2
  =10 N
In this way we have solved for static frictional force.


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