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What is Motion of Bodies in Contact ?

What is Motion of Bodies in Contact ?

Motion of Bodies in Contact



(a) When two bodies of masses $m_{1}$ and $m_{2}$ are kept on the frictionless surface and a force $F$ is applied on one body, then the force with which one body presses the other at the point of contact is called Force of Contact.

These two bodies will move with same acceleration $=\mathrm{a}$.

Motion of Bodies in Contact When the force $F$ acts on the body with mass $m_{1}$

as shown in fig. (1) and (1a) $F=\left(m_{1}+m_{2}\right)$ a.

If the force exerted by $m_{2}$ on $m_{1}$ is $f_{1}$ (force of contact)

then for body $m_{1}$

Motion of Bodies in Contact 1 $\left(F-f_{1}\right)=m_{1} a$

or $\quad f_{1}=F-m_{1} a$

$=\left(m_{1}+m_{2}\right) a-m_{1} a=m_{2} a$

or action on $\mathrm{m}_{2}, \mathrm{f}_{1}=\mathrm{m}_{2} \cdot \frac{\mathrm{F}}{\mathrm{m}_{1}+\mathrm{m}_{2}}$

When the force $F$ acts on the body with mass $m_{2}$ as shown in fig. 2 and $2(a)$

Motion of Bodies in Contact 2 $\mathrm{F}=\left(\mathrm{m}_{1}+\mathrm{m}_{2}\right) \mathrm{a}$

for body with mass $m_{2}$

$F-f_{2}=m_{2} a$

or $\quad f_{2}=F-m_{2} a$

Motion of Bodies in Contact 3 $=\left(m_{1}+m_{2}\right) a-m_{2} a=m_{1} a$

or action on $m_{1}, \quad f_{2}=\frac{m_{1} F}{m_{1}+m_{2}}$

Also Read

JEE Physics Notes

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