Uniform solid cylinders A and B have mass 2M and radius R. Uniform solid cylinders C and D have mass M and radius 2R. Cylinders A and C rotate on a axis perpendicular to the page that passes through their centers. Cylinders B and D rotate on a axis perpendicular to the page that passes through their edges. Rank the moments of inertia of the cylinders about their axes, from greatest to least.

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Ответ:

snowprincess99447

05.11.2021

Physics

(a) 19.25 N-m

(b) 25.67 N-m

Explanation:

Given:

Length of the pedal arm (L) = 0.177 m

Downward force $(|\vec{F}|)$ = 145 N

Magnitude of torque is given by the formula:

$T=FL\sin\theta$

Where, $\theta\to angle\ between\ F\ and\ L$

(a)

Given:

$\theta=48.6$ °

Therefore, torque is given as:

$T=FL\sin\theta\\\\T=(145\ N)(0.177\ m)(\sin(48.6))\\\\T=19.25\ Nm$

Therefore, the torque is 19.25 N-m.

(b)

Given:

$\theta=90$ °

Therefore, torque is given as:

$T=FL\sin\theta\\\\T=(145\ N)(0.177\ m)(\sin(90))\\\\T=25.67\ Nm$

Therefore, the torque is 25.67 N-m.

(c)

Given:

$\theta=180$ °

Therefore, torque is given as:

$T=FL\sin\theta\\\\T=(145\ N)(0.177\ m)(\sin(180))\\\\T=0\ Nm$

Therefore, the torque is 0 N-m.

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