Two bodies of masses m 1 and m 2 are connected by a light string passing over a smooth light pulley fixed at the end of a horizontal table. The mass m 1 is hanging and mass m 2 lies on horizontal surface. Find the acceleration of system and tension in the string. - Wired Faculty

Laws Of Motion

Question

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Two bodies of masses m₁ and m₂ are connected by a light string passing over a smooth light pulley fixed at the end of a horizontal table. The mass m₁ is hanging and mass m₂ lies on horizontal surface. Find the acceleration of system and tension in the string.

Solution

Let 'a' be acceleration of system and 'T' be the tension in the string.

Equation of motion of mass m₁ is,

straight m subscript 1 straight g minus straight T equals straight m subscript 1 straight a

...(1)
Equation of motion of mass

m subscript 2

is,

T equals m subscript 2 a

...(2)
Adding (1) and (2),

m subscript 1 g equals left parenthesis m subscript 1 plus m subscript 2 right parenthesis a

a equals fraction numerator m subscript 1 over denominator m subscript 1 plus m subscript 2 end fraction g

, is the acceleration of the system.
Substituting the value of a in (2),
Tension in the string,

T equals fraction numerator m subscript 1 m subscript 2 over denominator m subscript 1 plus m subscript 2 end fraction g

Some More Questions From Laws of Motion Chapter

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Laws Of Motion

Two bodies of masses m₁ and m₂ are connected by a light string passing over a smooth light pulley fixed at the end of a horizontal table. The mass m₁ is hanging and mass m₂ lies on horizontal surface. Find the acceleration of system and tension in the string.

Some More Questions From Laws of Motion Chapter

State Galileo’s law of motion.

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

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For Daily Free Study Material Join wiredfaculty

Laws Of Motion

Two bodies of masses m1 and m2 are connected by a light string passing over a smooth light pulley fixed at the end of a horizontal table. The mass m1 is hanging and mass m2 lies on horizontal surface. Find the acceleration of system and tension in the string.

Some More Questions From Laws of Motion Chapter

State Galileo’s law of motion.

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Two bodies of masses m₁ and m₂ are connected by a light string passing over a smooth light pulley fixed at the end of a horizontal table. The mass m₁ is hanging and mass m₂ lies on horizontal surface. Find the acceleration of system and tension in the string.