Question

A block of mass $2kg$ is joined to a body of mass $1kg$. Block is placed on a horizontal table and the string moves over a pulley, which is at the edge of the table. Mass of $1kg$ is suspended by the string. If table is frictionless then acceleration of block and tension in string are respectively

• A. $4.38m/s^2,6.54N$
• B. $4.38m/s^2,9.86N$
• C. $3.27m/s^2,6.54N$
• D. $3.27m/s^2,9.86N$

Answer 1

The correct option is C $3.27m/s^2,6.54N$

$T=2a...\left(1\right)$

$1\times g-T=1\times a...\left(2\right)$

Adding equation (1) and (2),we get:

$g=3a\Rightarrow a=g/3=\frac{9.8}{3}=3.26m/s^2$

And Tension in the string $T=2\left(g/3\right)(\because a=g/3)$

$=6.54N$