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To Find The Mass Of A Given Body Using A Metre Scale By Principle Of Moments - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • 3 Questions around this concept.

Solve by difficulty

An experiment is conducted to measure the length of a metal rod using a meter scale. The reading on the meter scale at the left end is 5 cm, and the reading at the right end is 21 cm. Determine the length of the metal rod.

A torque metre is calibrated to reference standards with the mass, length and also with time, each will have 15% accuracy, after this calibration, measured torque with this torque meter, we will have net accuracy is

Concepts Covered - 1

To find the mass of a given body using a metre scale by principle of moments

Aim-
To determine mass of a given body using a metre scale by principle of moments.

Apparatus-
A metre scale, a broad heavy wedge with sharp edge, a weight box, a body of unknown mass.

 

Theory -

If m and M be the mass of the body and mass of the weight used and a and A be the distances of their loops from wedge. Then, power (mass) arm =a, weight arm =A
From principle of moments m.g.a=M.g.A

m = M \frac{A}{a}

m= mass of body

M= mass of weight

A= distance from wedge

Calculation

                                   \begin{array}{ll}{\text { Mean mass, }} & {m=\frac{m_{1}+m_{2}+m_{3}}{3} \mathrm{g}=\ldots \mathrm{g}} \\ {\text { It will be found that }} & {M_{1}=M_{2}=M_{3}=m \text { in all cases. }}\end{array}

 

Procedure: 

1.    Arrange the meter scale in a horizontal position by supporting it at 50 cm mark at the sharp edge of the broad heavy wedge.    

2.    Take a loop thread.

3.    Suspended the given body whose mass is to be determined by the loop thread at a fixed mark on the left of the wedge.

4.    Suspended a paper pan on the right side of the wedge.

5.    Put some known weight in the pan.

 

Result
The unknown mass of the body, \mathrm{m}=\ldots . \mathrm{g}.

 

Precautons -

1. The wedge should be broad and heavy with sharp edge.
2. Metre scale should have uniform mass distribution.
3. Threads used for loops should be thin, light and strong,

 

 

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