Question:

A body of mass $5\, kg$ is suspended by a spring balance on an inclined plane as shown in figure. The spring balance measure :

Updated On: Sep 3, 2024
  • 50 N
  • 25 N
  • 500 N
  • 10 N
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The Correct Option is B

Solution and Explanation

Acceleration of the body down the rough inclined plane $=g \sin \theta$
Force applied on spring balance
$=mg \sin \theta$
$=5 \times 10 \times \sin 30^{\circ} $
$=5 \times 10 \times \frac{1}{2}=25\, N$
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Concepts Used:

Newtons Laws of Motion

Newton’s First Law of Motion:

Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.

Newton’s Second Law of Motion:

Newton’s 2nd law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the object’s mass.

Mathematically, we express the second law of motion as follows:

Newton’s Third Law of Motion:

Newton’s 3rd law states that there is an equal and opposite reaction for every action.