Careers360 Logo
How to Get Admission in NITs through JEE Main 2025 - Choose Best NIT in India for BTech

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,

 

 

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Get Answer to all your questions

Back to top