Static Equilibrium

$37$

r$=1\mathrm{.}5$m

$1\mathrm{.}0$m $1\mathrm{.}0$m

$0\mathrm{.}5$m

CM

CM

Nleft Nright

Mg

mg

$0$

$0$

$0$

x

y

F

F

$$

$$

$$

$$

$$

$$

$$

Force of Gravity $($Weight$)$

Acts at the center of Gravity

Find

$$ N right

$$ N left

$$ Critical tilt angle

around right leg

$$ Critical tilt angle

around left leg

CM desk is y$=+0\mathrm{.}5$m & CM person is y$=+1\mathrm{.}5$m

$1\mathrm{.}5$m

$0\mathrm{.}5$m

M$=100$kg$,$ m$=50$kg

Q$3$: Find N right, which is the upward normal force of the floor on the right foot of the desk.

Q$4$: Find N left, which is the upward normal force of the floor on the left foot of the desk.

Q$5$: Find the critical tilt angle of the $($desk$+$student$)$ system around the right leg $($i$.$e$.,$ one can tilt

the desk this far before it will fall over in opposite direction$).$ Assume the student is velcro$$d to

the desk.

Q$6$: Critical tilt angle of the $($desk$+$student$)$ system around left leg $($i$.$e$.,$ one can tilt the desk this

far before it will fall over in opposite direction$).$ Assume the student is velcro$$d to the desk.