To verify the Principle of Moments, which state that if a number of co-planner Forces acting on a body, keep it in Equilibrium and their Moments are taken about any point in their plane, the sum of Clockwise Moments is equal to the sum of Anticlockwise Moments.
Apparatus
A disc free to rotate about its center, in a vertical
plane, pulleys, weights
Theory
The principal of moment
state that if a number of coplanar forces acting on a body kept in equilibrium,
and their moments are taken about a point in their plane; the sum of the
clockwise moments are equal to the sum of anticlockwise moments.
Sum of the anticlockwise
Moments = Sum of the clockwise Moments
∑ F
x d (Anticlockwise Moments) =
∑ F x d (Clockwise Moments)
Procedure
Make
sure that the rotating disk rotates freely about the center C. by points of string points on
various pulleys, apply a number of forces suppose P, Q, R, S, T to act, on the
disc on various points p, q, r, s, t respectively are the perpendicular
distance of C from the lines of action of forces P, Q, R, S, T. the moments of
these forces about point C are Pp, Qq, Rr, Ss, Tt now weather they are
clockwise or anticlockwise. the other forces acting on the disk are its weight
and the reaction of t he pin at C. their lines of action pass through C, and
therefore contribute nothing towards the moments. Cut of the moments Pp, Qq,
Rr, Ss, Tt clockwise & anticlockwise moments separately. Are the two sums
equal? Enter your results in the table:
Observations and
Calculations
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Sr.
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Clockwise Moments
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Anticlockwise
Moments
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Force
(N)
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Distance (m)
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Moments (N-m)
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Force (N)
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Distance (m)
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Moment (N-m)
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1
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2
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3
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4
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Sum
of Clockwise Moments - Sum of
Anticlockwise Moments = 0
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