A block of mass 5 kg, resting on a horizontal surface, is...

A block of mass $5 \mathrm{~kg}$, resting on a horizontal surface, is connected by a cord, passing over a light frictionless pulley to a hanging block of mass $5 \mathrm{~kg}$. The coefficient of kinetic friction between the block and the surface is $0.5$. Tension in the cord is (Take $g=$ $9.8 \mathrm{~ms}^{-2}$ ) (a) $49 \mathrm{~N}$ (b) $36 \mathrm{~N}$ (c) $36.75 \mathrm{~N}$ (d) $2.45 \mathrm{~N}$

A block of mass $5 \mathrm{~kg}$, resting on a horizontal surface, is connected by a cord, passing over a light frictionless pulley to a hanging block of mass $5 \mathrm{~kg}$. The coefficient of kinetic friction between the block and the surface is $0.5$. Tension in the cord is (Take $g=$ $9.8 \mathrm{~ms}^{-2}$ )
(a) $49 \mathrm{~N}$
(b) $36 \mathrm{~N}$
(c) $36.75 \mathrm{~N}$
(d) $2.45 \mathrm{~N}$

Key Concepts

Connected Bodies System Dynamics

In systems where bodies are connected by cords or ropes, the dynamics of each body are interdependent. The acceleration of one body affects the acceleration of the other, and the forces such as tension and friction must be analyzed together to fully understand the motion of the system.

Tension in a Cord

Tension refers to the pulling force transmitted through a cord, string, or rope when it is used to connect two or more objects. In idealized problems with massless and inextensible cords, and frictionless pulleys, the tension is assumed to be constant throughout the cord, which simplifies the analysis of the system.

Free-Body Diagram

A free-body diagram is a schematic representation that shows all the external forces acting on a single object. It is a vital tool in mechanics because it helps in breaking down the problem into individual forces, making it easier to apply Newton's laws to determine accelerations, tensions, and other related quantities.

Newton's Second Law

Newton's Second Law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. This principle provides the foundation for setting up equations of motion for objects, whether in isolation or as part of a connected system, and is crucial for analyzing dynamic situations in mechanics.

Kinetic Friction

Kinetic friction is the force that opposes the relative motion of two surfaces sliding past each other. It is determined by the coefficient of kinetic friction and the normal force, and plays a key role in problems involving moving objects by affecting the net force and acceleration.

Transcript

Please give Ace some feedback