Question

If acceleration of wedge = 5m/s^2, to the right, find the magnitude of acceleration of the block b with respect to the wedge. The string is inextensible
a- 2
b- 5
c-8
d- 10

Answer 1

Answer:

The accelerated of wedge is =5m /s^2, The magnitude acceleration is -10

Answer 2

The magnitude of acceleration of the block b with respect to the wedge is 10 $ms^{-2}$

Given

The acceleration of the wedge is 5  $ms^{-2}$.

The motion is to the right.

The string is inextensible.

To Find

We need to find the magnitude of acceleration of the block b with respect to the wedge.

Solution

Acceleration =  5        $ms^{-2}$

From the figure  

          a = $a^{0}$ sin Ф

Here Ф is 30

        a =  $a^{0}$ sin 30

sin 30 =  0.5

We need to find  $a^{0}$

         $a^{0}$ = $\frac{a}{sin 30}$

          $a^{0}$ = $\frac{5}{sin 30}$

          $a^{0}$ = $\frac{5}{0.5}$

          $a^{0}$ = 10   $ms^{-2}$

The magnitude of acceleration of the block b with respect to the wedge is 10 $ms^{-2}$

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