A block A with mass 100 kg is resting on another block B of mass 200 kg. As shown in figure, a

step 1 In this question, we are given two blocks and one is on top of the other. So we have block B and

A block A with mass 100 kg is resting on another block B of...

A block $A$ with mass $100 \mathrm{~kg}$ is resting on another block $B$ of mass $200 \mathrm{~kg}$. As shown in figure, a horizontal rope tied to a wall holds it. The coefficient of friction between $A$ and $B$ is $0.2$ while coefficient of friction between $B$ and the ground is 0.3. The minimum required force $F$ to start moving $B$ will be (a) $900 \mathrm{~N}$ (b) $100 \mathrm{~N}$ (c) $1100 \mathrm{~N}$ (d) $1200 \mathrm{~N}$

A block $A$ with mass $100 \mathrm{~kg}$ is resting on another block $B$ of mass $200 \mathrm{~kg}$. As shown in figure, a horizontal rope tied to a wall holds it. The coefficient of friction between $A$ and $B$ is $0.2$ while coefficient of friction between $B$ and the ground is 0.3. The minimum required force $F$ to start moving $B$ will be
(a) $900 \mathrm{~N}$
(b) $100 \mathrm{~N}$
(c) $1100 \mathrm{~N}$
(d) $1200 \mathrm{~N}$

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Key Concepts

Multi-Body System Dynamics

In systems with multiple interacting bodies, forces such as friction are transmitted between the bodies. Analyzing these interactions requires careful consideration of how forces are distributed and how each interface contributes to the overall motion.

Newton's Laws of Motion

Newton's laws provide the framework for understanding how forces act on bodies, including the conditions for equilibrium and the onset of motion. They are used to analyze the balance of forces in both static and dynamic systems.

Static Friction

Static friction is the resistive force that acts between two surfaces in contact, preventing relative motion until a maximum threshold, determined by the coefficient of static friction and the normal force, is exceeded.

Normal Force

Normal force is the support force exerted by a surface perpendicular to the object resting on it. It is essential for calculating friction, as the frictional force is directly proportional to the normal force.

Free-Body Diagrams and Force Equilibrium

Free-body diagrams are visual representations of all the forces acting on a system, and they are crucial for setting up equilibrium equations. This method aids in isolating forces and understanding how they interact.

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