Single Choice

The acceleration of $$m$$ is

A$$4.5\ ms^{-2}$$ down the incline
Correct Answer
B$$4.5\ ms^{-2}$$ up the incline
C$$5\ ms^{-2}$$ down the incline
D$$5\ ms^{-2}$$ up the incline

Solution

Let the tension between$$P_7$$ pulley and block of mass m is T
Force equation for block of mass m:
$$mgsin30 - T = ma $$ -------eq.1
Force equation for pulley $$P_7$$
$$16T = 80 $$ -------eq.2
$$T = 5 N$$
From eq.1-
$$10\times 10\times \dfrac{1}{2} - 5 = 10a \\ 50 - 5 = 10a \\ a = \dfrac{45}{10} \\ a = 4.5 m/s^2 $$
So the block has $$4.5 m/s^2$$ acceleration down the incline.

SIMILAR QUESTIONS

Laws of Motion

For the system shown in figure, the pulleys are light and frictionless. The tension in the string will be:

Laws of Motion

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Laws of Motion

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Laws of Motion

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Laws of Motion

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Laws of Motion

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Laws of Motion

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Laws of Motion

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Laws of Motion

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Laws of Motion

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