the initial angular velocity is 0, i knowingly excluded it. ok, i tutor mathematics. while tutoring AP Calc a student posed this problem to me. he is in AP Physics. is there NO way to solve this in a manner a high school student would follow?
ok, so here's what i tried. using W = KEf - KEi = 1/2 I (omega - final)^2 and W = ∫τdθ I can solve for the final angular velocity when the door has closed. I'm just not sure how to get the time it took for it to close from there.
i don't know where to apply the torque. because the car is applying a force at the hinge i tried getting the tangential component there and used the the center of mass as the pivot point. but i can't find a force that makes the center of mass want to go to the right towards the car.
1.
A car door is left open at an angle theta with the side of the car. The door is uniform of mass M and length L. The car accelerates with linear acceleration a. How long does it take the door to close.
2. theta = .5(angular acceleration)t^2
angular acceleration = tangential...
Can someone explain why the force P with which the man must pull on the rope to achieve an acceleration a m/s2 IS NOT (m+M)(a+g)/2 and is instead (m+M)(a+g). M+m is the combined mass of man and platform.
Why does 2T-(M+m)g=(M+m)a not work here?