What is the minimum force needed to make a brick topple in a moving train?

AI Thread Summary
To determine the minimum force needed to make a brick topple in a moving train, the mass and dimensions of the brick are crucial, with a mass of 50 g and dimensions of 10 cm x 8 cm x 6 cm. The brick is positioned on a rough floor that prevents sliding but allows toppling about a 10 cm edge when the train brakes suddenly. The discussion involves calculating the minimum couple required for toppling and the minimum deceleration of the train that causes this effect. The coefficient of static friction is essential to prevent sliding, and the torque can be calculated by identifying the axis of rotation and summing the torques around that point. Ultimately, the problem was resolved by focusing on the axis of rotation and the torques involved.
Omar.Castillo
Messages
11
Reaction score
0
A brick of mass 50 g is placed on a level floor inside a moving train. The dimensions of the brick is 10cm*8.0cm*6.0cm. It is placed with one of its 10cm*6cm faces on the floor so that the 6.0 cm edges are parallel to the direction of motion. The train is braked suddenly. Assume that the floor is rough enough to prevent sliding, but allow the brick to topple about a 10cm edge. Find the minimum couple required to makethe brick topple about the 10 cm edge?

I know that the coefficient of static friction is proportional to the normal force. So must I equal the normal force to the coefficient of kinetic friction to get the answer?

After that question the next one is to find the minimum decelaration of the train that makes the brick topple about the 10 cm edge. and determine the minimum value of the coefficient of static friction between the brick and the floor that prevents the sliding
 
Physics news on Phys.org
I cannot imagine how to get the torque force without using fictional forces any way to get it without it?
 
Got it

Never mind guys I finally got it after hard 3 hour work, thanks anyway for at least looking at it
 
All you do is identify the axis of rotation (the front edge!)
and sum the torques around that axis.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top