Question #102631

a truck is traveling on a straight line on ground level and is accelerating uniformly with an acceleration of magnitude (a). a rope is tied to a bucket of mass (m), the bucket tosses widely when the truck starte to accelerate but later on displaces at a fixed position at a fixed distance behind the truck and the rope hanging straight at a fixed angle; find the angle at which the rope will settle.express your answers in terms of m, g and a

Expert's answer

"T\\sin{\\theta}=ma"

"T\\cos{\\theta}=mg"

Thus,

"\\theta=\\arctan{\\frac{a}{g}}"

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