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

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SUMMARY

The discussion focuses on determining the angle at which a block hangs when a van rounds a curve at a speed of 28 m/s. The block, initially hanging vertically, swings outward due to centripetal acceleration. Key equations include FW=mg for weight and a=v²/r for centripetal acceleration. The solution involves using inverse tangent to find the angle, requiring knowledge of the block's mass, which is not provided directly in the problem.

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  • Knowledge of vector addition in physics
  • Ability to apply trigonometric functions, specifically inverse tangent
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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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