(c) Now consider a heavy door, with the same mass and dimensions as the one in p

Question

(c) Now consider a heavy door, with the same mass and dimensions as the one in part (a), that swings about a vertical axis passing through one long edge as shown in the diagram below. The moment of inertia of the door about this new axis of rotation is given by -m 2, where m is the mass and w is the width of the door 3 20 How much force must you and your friend each apply to the free end of the door on the same side and perpendicular to the plane of the door in order to produce the same torque as that produced by both of you in part (a) above? (d) What is the angular acceleration of the door? rad/s2

Explanation / Answer

(c) torque=force*perpendicular

for part (a) torque=5*0.8 + 5*0.8=8 Nm

let force is F for part( (c)

F*1.6=8

F=5 N

so me and my friend both together should apply total force of 5 N

(d) angular acclerarion=Torque/Moment of inetia=8/(1/3 mw^2)=1.875 rad/s^2

(a) torque=8 Nm

(b) angular accleration=7.5 rad/s^2

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