Question
Download Solution PDFA mass M is dragged by a pulley on a horizontal plane by a force anti-parallel to its displacement. The work done in pulling the mass M is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Work (W) is said to be done by a force when the force acting on it causes the object to displace.
- Mathematically it is given by:
\(⇒ W = \vec F .\vec d = Fd\ cos θ \;\;\;\;\; \ldots \left( 1 \right)\)
Where F = The magnitude of the force vector, d = The magnitude of the displacement vector
EXPLANATION:
Given: The pull force F is applied in the antiparallel direction to the displacement of the mass on the plane.
- Referring to the diagram,
- So, the displacement and pulling force vectors will be in the antiparallel direction to each other as the angle between them will be 180°.
∵ θ = 180°.⇒ cos180° = -1
- So, using equation 1,
- The work done in pulling the mass M will be negative as the magnitude of the force and displacement vector can not be negative.
So, the correct answer will be option 4.
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