A plushy 6-sided die (m=6 grams) is still hanging by a mass-less string from the

Question

A plushy 6-sided die (m=6 grams) is still hanging by a mass-less string from the rear-view mirror a car. The car is driving in a circle (r=14m) in a large flat parking lot. While in this circle, the die makes an angle of 25 degrees with the vertical. (Hint: Think about the problem from the perspective of someone standing on the ground, not sitting in the car)

A) What is the acceleration of the plushy 6-sided die

B) What is the speed around the circle?

C) What is the tension in the string?

Show work starting from Free Body DIagram

Explanation / Answer

Gravitational force on die and centripetal force acting perpendicular to each other.

Angle formed string with horizontal is 25°

mv^2/r= tan25 × mg

V^2 = 0.46×9.81× 14 =64

V =8 m/s

Tension in the string( T) *cos 25= m×g

T=6*10^-3×9.81/0.906 = 65*10^-3 N

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