A 3.0-kilogram mass lies on a rough horizontal surface. It...

Name: Problem 26, Chapter :
Uploaded: 2019-08-29T00:28:21-08:00
Duration: 2 min 19 s
Channel: Abhishek Jana
Description: A 3.0-kilogram mass lies on a rough horizontal surface. It is attached to a 1.0- kilogram mass by a string draped over a pulley as shown in the diagram above. What minimum coefficient of friction is needed in order for the blocks to remain at rest? (A) 0.25 (B) 0.33 (C) 0.50 (D) 0.67 (E) 0.75

A 3.0-kilogram mass lies on a rough horizontal surface. It is attached to a 1.0- kilogram mass by a string draped over a pulley as shown in the diagram above. What minimum coefficient of friction is needed in order for the blocks to remain at rest? (A) 0.25 (B) 0.33 (C) 0.50 (D) 0.67 (E) 0.75

A 3.0-kilogram mass lies on a rough horizontal surface. It is attached to a 1.0-
kilogram mass by a string draped over a pulley as shown in the diagram above.
What minimum coefficient of friction is needed in order for the blocks to remain at rest?
(A) 0.25
(B) 0.33
(C) 0.50
(D) 0.67
(E) 0.75

Key Concepts

Free Body Diagrams

A free body diagram is a tool used to visually represent all the forces acting on an object. In problems involving static equilibrium, drawing a free body diagram helps in identifying forces such as gravity, normal force, friction, and tension, which are then used to set up equilibrium equations.

Static Equilibrium

Static equilibrium is the condition where the sum of all forces and moments acting on a body is zero, meaning the object remains at rest. This principle is used to establish the balance equations that determine the unknown forces, such as friction or tension, in the system.

Coefficient of Friction

The coefficient of friction is a dimensionless value that relates the maximum frictional force that can be sustained between two surfaces to the normal force pressing them together. It is a key parameter when determining whether or not a system will remain at rest under applied forces.

Tension Force

Tension is the force transmitted through a string or rope when it is pulled tight by forces acting from opposite ends. In static systems connected by pulleys, the tension is typically constant throughout the string and is crucial for relating the forces acting on connected masses.

Newton's Laws of Motion

Newton's Laws, particularly the first law which states that an object at rest will remain at rest if the net force is zero, form the basis for analyzing systems in static equilibrium. These laws allow us to set up the necessary balance equations to solve for unknown quantities like the coefficient of friction.

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