Problems $1-5$ Information:

A man stands on a ladder of length L $=4$ m leaning against a wall.$$ His little brother begins pulling the base of the ladder at a constant velocity of v$$A $=0\mathrm{.}3$ m$/$s away from the wall.$$ At the instant shown, the man is a distance d $=1$ m up the ladder, and the ladder is at angle $=70$ deg relative to the floor.

What type of motion do the man and ladder experience?$$ Express your answer as $($man$,$ladder$).$ Use abbreviations T $=$ pure translation, R $=$ fixed$-$axis rotation, G $=$ general planar motion.

Question options:

$($G$,$G$)$

$($R$,$R$)$

$($R$,$G$)$

$($R$,$T$)$

$($G$,$R$)$

Hide question $1$ feedback

Feedback

Just think about it$.$

Question $20\mathrm{.}5/1$ point

What is the angular velocity $($rad$/$s$)$ of the ladder?$$ Express your answer to $3$ significant figures.

magnitude: $\_\_\_\_\_\_\_\_\_\_\_\_$ rad$/$s$,$ direction: $\_\_\_\_\_\_\_\_\_\_\_\_\_("$CCW$"$ or $"$CW$")$

Answer for blank # $1$:$-0\mathrm{.}0798$Answer for blank # $2$:CW

Hide question $2$ feedback

Feedback

Relate the distance the base slides to the angle of the ladder, then take the time derivative.

Question $31/1$ point

What is the velocity of the end of the ladder touching the wall?$$ Express your answer to $3$ significant figures.

$\_\_\_\_\_$ i $+\_\_\_\_\_$ j m$/$s

Answer for blank # $1$:$0$Answer for blank # $2$:$-0\mathrm{.}109$

Hide question $3$ feedback

Feedback

What direction is the tip sliding?$$ Velocity is only in that direction.

Question $40\mathrm{.}5/1$ point

What is the velocity of the man?$$ Express your answer to $3$ significant figures.

$\_\_\_\_\_$ i $+\_\_\_\_\_$ j m$/$s

Answer for blank # $1$:$-0\mathrm{.}225$Answer for blank # $2$:$-0\mathrm{.}0237$

Hide question $4$ feedback

Feedback

Find the position of the man with respect to point A$,$ then use relative velocities.

Question $51/1$ point

If instead of standing still, the man climbs up the ladder at a speed of $0\mathrm{.}2$ m$/$s$,$ what is the total velocity of the man?$$ Express your answer to $3$ significant figures.

$\_\_\_\_\_$ i $+\_\_\_\_\_$ j m$/$s

Answer for blank # $1$:$-0\mathrm{.}157$Answer for blank # $2$:$0\mathrm{.}161$

Hide question $5$ feedback

Feedback

Use relative velocities again, but this time include the climbing speed.$$ It will have both x and y components.