How far does the truck travel in this time?

AI Thread Summary
The discussion revolves around a physics problem involving a box on a truck that accelerates after stopping. Participants are asked to calculate the time it takes for the box to fall off the truck and the distance the truck travels during that time. Key factors include the mass of the box and the coefficients of friction between the box and the truck's floor. The conversation emphasizes the importance of understanding the forces at play and the equations of motion involved. Participants are encouraged to share their approaches to solving the problem for better clarity and assistance.
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Losing Cargo. A box of mass rests on the flat floor of a truck. The coefficients of friction between the box and floor are and . The truck stops at a stop sign and then starts to move with an acceleration of a

a) if the box is a distance x from the rear of truck starts, how much time elapses before the box falls off the truck?

b) how far does the truck travel in this time?
 
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Thread 'Minimum mass of a block'

Thread 'Minimum mass of a block'

Here we know that if block B is going to move up or just be at the verge of moving up ##Mg \sin \theta ## will act downwards and maximum static friction will act downwards ## \mu Mg \cos \theta ## Now what im confused by is how will we know " how quickly" block B reaches its maximum static friction value without any numbers, the suggested solution says that when block A is at its maximum extension, then block B will start to move up but with a certain set of values couldn't block A reach...
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Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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