Question

SHILOL.ro will appear dryshme 2. Aronaut lands on a distant unmanned placemecadis of xx km. When he jumpintin speed of xx mishuis THIS IS Tom-TINHOSHIMIREIROS urberrespetate from the suction cup without pulling it on the ceiling? (Consider that the atmospheric pressure inside the home is xx cm of mercury, and you have to draw the FBD). (11 points) a) Knowing that the moment of inertia of a thin uniform metallic rod of mass m and length Labout an axis through its center of mass is xxx, what is its moment of inertial about a parallel axis through one of its ends (show your calculation). (b) A physical pendulum consisting of a thin metallic rod of mass m xx gand of length L -xx mis suspended from the upper end by a frictionless pivot. It makes xx complete swings in xx s. What is the acceleration of gravity at the location of the pendulum? (c) At what altitude above the Earth's surface is this pendulum placed? (18 points)

Answer 1

Answer

I Grey mass of Rod = m. 12 , Lengths - L Im = 772² E / a) To find I about an asers through one end and parallel to the axis passing througe centre of maps Using posellel asus therem I= Icm + m ML2+ 3 ML2 ny .: I me xxx, = M L² = 12 xxx Mer 4xxx b) Length of pendulum aL = xxm Total Time Let it be To Noi g susugs 2 ML? 6 M22 12 I= M22 12 + 12 OR M2² (2 12xxx .. Trome period T= x 4 T? = a B2 L Now T= 20 등 g= anz 47²xxx) 40²xx m/s ( 1 9 - 41Pxx c) As ģ represents the acceleration due to granty the surface, C vanes with altitude and depty) placed just above the earth (620) 31ce g the pendulum