A rectangular plate is rotating with a constant an- gular acceleration about an

Question

A rectangular plate is rotating with a constant an-

gular acceleration about an axis that passes perpendicularly

through one corner, as shown. The tangential acceleration at

corner A has 2.0 times the magnitude as that at corner B. If

the height of the plate is H = 62cm, what is the width, W?

A rectangular plate is rotating with a constant angular acceleration about an axis that passes perpendicularly through one corner, as shown. The tangential acceleration at corner A has 2.0 times the magnitude as that at corner B. If the height of the plate is H = 62cm, what is the width, W?

Explanation / Answer

rA = sqrt(w^2+H^2) ....................... rB = W................. rA *alfa = 2*rB*alfa............... sqrt(w^2+H^2) = 2*W.............. squaring on both sides........... W^2 + H^2 = 4 W^2....................... W = H/ sqrt3 = 62/sqrt3 = 35.795 cm

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