Question

A car is moving on a lvel road. a pendulum suspended from the ceiling makes an angle of 10 degre with the verticle. find the acc. of car. g=10m/s2

Answer 1

A car is moving on a level road. a pendulum suspended from the ceiling makes an angle of 10 degree with the vertical. find the acc. of car. $g = 10 \, \text{m/s}^2$

As the car accelerated, the pendulum moved from the vertical to angle $\alpha$ with the vertical:

$$\overrightarrow {g ^ {\prime}} = \vec {g} - \vec {a}$$

$\overrightarrow{g^{\prime}}$ - effective gravitational acceleration

$\vec{g}$ - gravitational acceleration

$\vec{a}$ - acceleration of the car

Therefore:

$$\tan (\alpha) = \frac {a}{g}$$ $$a = g * \tan (\alpha) = 1 0 * \tan 1 0 = 1. 7 6 m / s ^ {2}$$

Answer: $a = 1.76 \frac{m}{s^2}$