Abucket of mass m is hanging from the free end of a rope whose other end is wrapped around a drum (radius r, mass m) that can rotate with negligible friction about a stationary horizontal axis. the drum is not a uniform cylinder and has unknown moment of inertia. when you release the bucket from rest, you find that it has a downward acceleration of magnitude a. what is the tension in the cable between the drum and the bucket?

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

hope this ! : )

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west