Aone-piece cylinder has a core section protruding from the larger drum and is free to rotate around its central axis. a rope wrapped around the drum of radius 1.22 m exerts a force of 3.11 n to the right on the cylinder. a rope wrapped around the core of radius 0.62 m exerts a force of 6.92 n downward on the cylinder. 3.11 n 6.92 n what is the magnitude of the net torque acting on the cylinder about the rotation axis? answer in units of n · m.

Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. a small hole is made in the side of each tank at the same depth 1.57 m below the liquid surface, but the hole in tank 2 has 2.49 times the cross-sectional area of the hole in tank 1. (a) what is the ratio ρ1/ρ2 of the densities of the liquids if the mass flow rate is the same for the two holes? (b) what is the ratio rv1/rv2 of the volume flow rates from the two tanks? (c) at one instant, the liquid in tank 1 is 14.9 cm above the hole. if the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

Describe uniform velocity and variable velocity in short