Question

The acceleration of system over the wedge as shown in the figure is:

• A. $1m/s^2$
• B. $2m/s^2$
• C. $3m/s^2$
• D. $4m/s^2$

Answer 1

The correct option is A $1m/s^2$

From figure,

$2gsin{53}^0-T=2a$...........................(1)

$T-2gsin{37}^0=2a$...............................(2)

Adding eqn. (1) and (2),

$2gsin{53}^0-2gsin{37}^0=4a$

$2\times 10\times \left(0.79\right)-2\times 10\times \left(0.601\right)=4a$

$15.98-12.03=4a$

$a=0.98m/s^2$

or $a=1m/s^2$

Option A