(a) what is torque? what happens to an object when a net torque is applied to it? (b) how is torque calculated? be sure to describe one of the two ways that we discussed in class and illustrate your answer with a diagram. (c) for an object that is in rotational equilibrium, where do you place the axis of rotation? why? (d) what is the moment of inertia of an object? how can you tell the difference between angularly accelerating an object with a large versus a small moment of inertia? [conceptual question 8 pts.][diagram 2 pts.]

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

Carbon 14 is a naturally occurring stable

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.