Question

If the coefficient of static friction between a patient and the bed sheets is 1.2, what is the
maximum angle (θ) at which the bed can be tilted with respect to the floor before the patient
begins to slide?

a) 45o
b) 60 o
c) 30 o
d) 50 o
e) 25 o

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Answer 1

Answer on Question#41022, Physics, Mechanics Question: If the coefficient of static friction between a patient and the bed sheets is 1.2, what is the maximum angle (?) at which the bed can be tilted with respect to the floor before the patient begins to slide? a) 45o b) 60o c) 30o d) 50o e) 25o Solution. From the equality of forces along the axis of motion we find

$F_{gr}\sin\alpha=\mu N$

Where $F_{gr}$ is gravitational force on patient and $N$ is reaction force of bed and $\mu$ is coefficient of friction

$mg\sin\alpha=\mu mg\cos\alpha$

$\tan\alpha=\mu$

$\alpha=\arctan\mu=\arctan(1.2)\approx 50{}^{\circ}$

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