Recent content by karmonkey98k

John Taylor "Classical Mechanics" Chapter 5, Problem 29 Homework Statement An undamped oscillator has period t(0)=1 second. When weak damping is added, it is found that the amplitude of oscillation drops by 50 percent in one period r1. (the period of the damped oscillations defined as time...

John Taylor "Classical Mechanics" Chapter 3, Problem 7 1. Homework Statement [/b] The first couple of minutes of the launch of a space shuttle can be described very roughly as follows: The initial mass is 2x10^6kg, the final mass (after 2 min) is about 1x10^6 kg, the average exhaust speed is...

Homework Statement Problem 27 Experiment needed first: The hallmark of inertial ref. frames is that any object subject to 0 net force travels in straight line at a constant speed. Consider the following experiment: I am standing on the ground (which we shall take to be an inertial frame)...

the angle they make is in the problem; the cos of the difference of the angles equals that result. i just cud not go from the dot product to that.

Homework Statement The two vectors a and b lie in the xy plane and make angles (alpha and beta) with the x axis. a. by evaluating a dot b in two ways prove the well known trig identity cos(alpha-beta)=cosalphacosbeta +sinalphasinbeta Homework Equations adotb=abcostheta=axbx+ayby The...

John Taylor "Classical Mechanics" Chapter 3, Problem 1 Homework Statement Consider a gun of mass M (when unloaded) that fires a shell of mass m with muzzle speed v. (shell's speed relative to gun is v). Assuming gun is completely free to recoil (no ext. forces on gun or shell), use...