Question

What is the primary objective when determining the internal forces at point J in the context of an archer aiming at a target, assuming the shape of the bow can be approximated by a parabola?

a) Calculating the gravitational forces
b) Analyzing wind resistance
c) Assessing structural integrity
d) Evaluating the distribution of internal forces

Answer 1

The primary objective when determining the internal forces at point J during archery is to evaluate the distribution of internal forces to ensure the structural integrity and proper functioning of the bow.

Step-by-step explanation:

Primary Objective in Determining Internal Forces-

The primary objective when determining the internal forces at point J in the context of an archer aiming at a target is d) Evaluating the distribution of internal forces. This is crucial in understanding how the bow, approximated as a parabola, will react when the archer releases the arrow. Structural integrity of the bow is important for the safety and effectiveness of the shot, ensuring the bow can withstand the tension without breaking. Equilibrium conditions must be met, meaning the net external force and net torque acting on the bow should be zero when the archer holds the bow steady in aim.

When an archer pulls back on the bowstring, the bow experiences internal stresses, mainly compressive stress along the 'limbs' of the bow due to the string tension. This results in a distribution of forces within the material of the bow which should be evaluated for arch action, and to prevent any structural failures when the bowstring is released. Understanding these forces ensures that the bow operates within its material limits, provides the expected performance, and confirms that it can be used safely.