Question

A square plate with sides 1.min length can rotate around an axle passing through its center of mass (CM) and perpendicular to its surface (see Figure below). There are four forces acting on the plate at different points. The rotational inertia of the plate is 16 kg ml. Use the values given in the figure to answer the following questions (Assume 0 400 Express your answers in vector form) 1200N 400N (a) What is the net torque acting on the plate 14.8 Nm (b) What is the angular acceleration of the plate Need Help? Het

Answer 1

Torque is given by, Tez SRP F, = BON [f2= GON 0=40 F = 20N Fq = 40N

“人文 > Qi x 30ML ( 3 xso) N-30 (-) -27 (N-any EF)

= x h ał x 60N (-J) 2 (18x60) N.m (-R) 2 54 Nm (-R) Iz = a (-1) X 200 J = (1.8 X 20 ) N-m (-R) 218 N-m (-)

TH=(45) x 40 60s @ 7) + ( a 2x gosino 5) ( 12 x 40X60520) + ( x 40 x Sin 48) = 27.58 Å + 23.14 & 50.12 Å (N-m) Thet a Tit Tz + Tz tła = (-27-54-18 +50.72) R (N-m) - a -48.28 R (Nm) Intl = 48.28 N.m 6) IQ=T given I = 16 Kg - m? 16x2 = 48.28 2 2 48.28 rad/S² 16 = 3.02 rad is?

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