A simple pendulum with mass m $=2\mathrm{.}2$ kg and length L $=2\mathrm{.}47$ m hangs from the ceiling. It is pulled back to an small angle of $=8\mathrm{.}6$ from the vertical and released at t $=0.$

$1)$

What is the period of oscillation?

s

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$2)$

What is the magnitude of the force on the pendulum bob perpendicular to the string at t$=0?$

N

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$3)$

What is the maximum speed of the pendulum?

m$/$s

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$4)$

What is the angular displacement at t $=3\mathrm{.}41$ s$?($give the answer as a negative angle if the angle is to the left of the vertical$)$

$$

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$5)$

What is the magnitude of the tangential acceleration as the pendulum passes through the equilibrium position?

m$/$s$2$

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