Problem $13\mathrm{.}94$

The smooth pin $P$ has a mass of $50$ g $.$ It is attached to an elastic cord

extending from $O$ to $P$ and, due to the slotted arm guide, moves along

the horizontal circular path $r=(0\mathrm{.}8sin)m$ as shown in $($Figure $1).$

The cord has a stiffness $k=30\frac{N}{m}$ and an unstretched length of

$0\mathrm{.}25$ m $.$ The guide has a constant angular velocity ${}^{}=5ra\frac{d}{s}.$

Figure

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Part B

Determine the normal force of the circular path on the pin when $=60.$

Express your answer to three significant figures and include the appropriate units.

$N=$