What Angle Does the Block Hang at When the Van Rounds a Curve?

AI Thread Summary
When a block is hung from the roof of a van, it hangs vertically when the van moves straight at 28 m/s. However, when the van rounds a curve, the block swings outward, forming an angle with its vertical position. To determine this angle, the equations of motion and forces acting on the block must be analyzed, specifically using FW=mg and centripetal acceleration a=v²/r. The challenge arises in finding the mass of the block to complete the calculations. A suggested approach is to treat the accelerations as a vector addition problem for a clearer solution.
livblue23
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Homework Statement


A block is hung by a string from ther inside roof of a van. When the van goes straight ahead, at a speed of 28 m/s, the block hangs vertically down. But when the van rounds a curve, the block swings toward the outside of the curve, making an angle with its previous position. Determine the angle at which this block hangs.


Homework Equations


Fx=ms, FTx=ma, Fy=may, Fty=mg


The Attempt at a Solution



okay, so i know that i use FW=mg and a=v2/r to find the two numbers that i will eventually use to find the inverse tangent of the angle... but how do i get the mass for FW=mg, how would i find the mass so i can finish this problem.
 
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livblue23 said:

Homework Statement


A block is hung by a string from ther inside roof of a van. When the van goes straight ahead, at a speed of 28 m/s, the block hangs vertically down. But when the van rounds a curve, the block swings toward the outside of the curve, making an angle with its previous position. Determine the angle at which this block hangs.


Homework Equations


Fx=ms, FTx=ma, Fy=may, Fty=mg


The Attempt at a Solution



okay, so i know that i use FW=mg and a=v2/r to find the two numbers that i will eventually use to find the inverse tangent of the angle... but how do i get the mass for FW=mg, how would i find the mass so i can finish this problem.

Maybe approach it a little more simply and treat the accelerations acting on the block as a vector addition problem?
 
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