A rotating door is made from four rectangular glass panes, as shown in the drawi

Question

A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 87 kg. A person pushes on the outer edge of one pane with a force of size 75 N and directed perpendicular to the pane.

A Fishing Re X Physics 210-HW#9-Spmx0 -> Dwww.webassign.net/web/Student/Assignment-Responses/submit?dep-13701 713 "A Physics 210-HW#9-Sp. x Approximate A Fishing Rex 8. -14 points My Notes Ask Your Teacher A rotating door is made from four rectangular glass panes, as shown in the drawing. The mass of each pane is 87 kg. A person pushes on the outer edge of one pane with a force of size 75 N and directed perpendicular to the pane. CL 1.2 m 1.2 m a.) Find the rotational inertia of the door kg m2 b.) Find the magnitude of the door's angular acceleration rad/s2 c.) Find the time it would take to rotate the door a half-circle, if it started from rest. My Notes Ask Your Teacher 9. + -4.25 points Two masses (mA 3 kg, mB-6 kg) are attached to a (massless) meter stick, at the 0 and 75 cm marks, respectively. e 49 8:27 AM

Explanation / Answer

here,

mass of the each plane , m = 87 kg

force applied , F = 75 N

d = 1.2 m

a)

the rotational inertia of the door , I = 4 * m * d^2 /3

I = 4 * 87 * 1.2^2 /3

I = 167.04 kg.m^2

b)

let the door's angular accelration be alpha

I * alpha = F * d

167.04 * alpha = 75 * 1.2

alpha = 0.54 rad/s^2

c)

theta = pi

let the time be t

theta = w0 * t + 0.5 * alpha * t^2

pi = 0 + 0.5 * 0.54 * t^2

t = 3.41 s

the time taken is 3.41 s

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