Problem $1$

Recall Problem $4$ from homework $2,$ You calculated the kinetic energy of the rotating sawblade and dado stack. Imagine

you are working in a woodshop cutting a $24(1\mathrm{.}5in3\mathrm{.}5in$ board that is $8$ ft long, and a kickback event occurs. The saw

blade grabs the wood board and violently throws it backward. After the kickback the velocity of the board is the same

linear velocity as the outer edge of the blade. You may assume that no energy has been added or removed from the saw$-$

board system. $*$The density of the wood is $30lb\frac{m}{f}{t}^3.$

a$)$ What is the velocity of the board after the kickback, for both the sawblade, and the dado stack?

a$.$ Apply the conservation of energy on the board$/$saw system. Think about what state $1$ and state $2$

are.

b$)$ What is kinetic energy of the board after the kickback event, for both the sawblade, and the dado stack?

c$)$ What is the efficiency of the saw at transfering kinetic energy to the board for the regular saw blade and

dado stack?