As shown in figure, the block of 2 kg at one end and the other of 3 kg at the other end of a l

Step 1: The weight of the 3 kg mass is $3 times 10 = 30 , text{N}$, acting downwards. The weight

As shown in figure, the block of 2 kg at one end and the...

As shown in figure, the block of $2 \mathrm{~kg}$ at one end and the other of $3 \mathrm{~kg}$ at the other end of a light string are connected. It the system remains stationary find the magnitude and direction of the frictional force $\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)$ (A) $20 \mathrm{~N}$, downward on slope (B) $20 \mathrm{~N}$, upward on slope (C) $10 \mathrm{~N}$, downward on slope (D) $10 \mathrm{~N}$ upward on slope

As shown in figure, the block of $2 \mathrm{~kg}$ at one end and the other of $3 \mathrm{~kg}$ at the other end of a light string are connected. It the system remains stationary find the magnitude and direction of the frictional force $\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)$
(A) $20 \mathrm{~N}$, downward on slope
(B) $20 \mathrm{~N}$, upward on slope
(C) $10 \mathrm{~N}$, downward on slope
(D) $10 \mathrm{~N}$ upward on slope

Key Concepts

Static Equilibrium

This concept refers to situations where an object remains at rest because the sum of all forces acting on it is zero. In problems of equilibrium, every force, including weight, friction, normal force, and tension, must work in concert so that there is no net force causing acceleration.

Frictional Force

Friction is a resistive force that acts opposite to the direction of potential or actual motion between surfaces in contact. Static friction, in particular, adjusts its magnitude up to a maximum limit in order to prevent motion when a system is in equilibrium.

Gravitational Force Resolution on an Incline

When dealing with inclined planes, the gravitational force on an object is decomposed into components parallel and perpendicular to the plane. The parallel component influences the motion along the slope, while the perpendicular component is countered by the normal force.

Free-Body Diagram Analysis

A free-body diagram is a visual representation of all the forces acting on an object. It is crucial for breaking down complex interactions into individual forces, such as tension, friction, and gravitational components, which is essential for solving equilibrium problems.

Tension in a Light String

In mechanics, a light, inextensible string is assumed to have negligible mass, meaning that the tension is uniform throughout its length. This property is key in linking the forces on connected objects, ensuring that the same force is transmitted across the string in equilibrium conditions.

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