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  4. A truck is carry a box of mass m=50 kg on its flat horizontal rough surface with coefficient of friction μ=0.3 It is crossing a circular track of radius 27 m What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path? <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/0de07d28309d23e1353ca07e2500312e-.png />

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Q. A truck is carry a box of mass $m=50\,kg$ on its flat horizontal rough surface with coefficient of friction $\mu=0.3$ It is crossing a circular track of radius $27 \,m$ What is the maximum speed of the truck so that the box does not slide from the truck while moving on the circular path?
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Laws of Motion

Solution:

image
F.B.D. of the particle in truck travel
Here $\frac{mv^{2}}{R}=\mu\,mg$
$v^{2}=\mu\,mg $
$R=0.3 \times 50 \times 10 \times 27$
$v=45\sqrt{2}\, m /s$