Question

You have been abducted by aliens and find yourself on a strange planet. Fortunately, you have a meter stick with you. You observe that, if the stick oscillates around one end as a physical pendulum, it has a period of 0.85 s. What is the acceleration of gravity on this planet?A 9.8 m/s2 B cannot be calculated without knowing the mass of the stickC 36 m/s2 D 18 m/s2 E 27 m/s2

Answer 1

Step-by-step explanation:

`T = 2\pi \sqrt{((I)/(mgh))}`

centre of mass will be in middle of meter stick

so we take the length h = 0.5m

Taking moment of inertia of rod about the top point

`I = (mL^2)/(3)\\\\0.85 = 2\pi \sqrt {((mL^2)/(3mgh))</p><p>}\\\\0.85 = 2\pi \sqrt{((1)/(3g)(0.5))}</p><p>\\\\g = 36.43 m/s^2`