# Question The collar at A can move in the vertical direction and the pin at B is forced to move in the circular guide with a radius of 300 mm. The collar and the pin is connected by an inextensible rope of 200 mm. When θ is 60-degrees, the collar has an upwards velocity of 250 mm/s and slowing down with an acceleration of 150 mm/s2 a) Determine the acceleration and The collar at A can move in the vertical direction and the pin at B is forced to move in the circular guide with a radius of <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">300</span><span class="mord"><span class="mspace nobreak"> </span><span class="mord mathrm">mm</span></span></span></span></span>. The collar and the pin is connected by an inextensible rope of <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">200</span><span class="mord"><span class="mspace nobreak"> </span><span class="mord mathrm">mm</span></span></span></span></span>. When <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.02778em;">θ</span></span></span></span> is 60-degrees, the collar has an upwards velocity of <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">250</span><span class="mord"><span class="mspace nobreak"> </span><span class="mord mathrm">mm</span></span><span class="mord">/</span><span class="mord mathrm">s</span></span></span></span> and slowing down with an acceleration of <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.0641em;vertical-align:-0.25em;"></span><span class="mord">150</span><span class="mord"><span class="mspace nobreak"> </span><span class="mord mathrm">mm</span></span><span class="mord">/</span><span class="mord"><span class="mord mathrm">s</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span></span> a) Determine the acceleration and velocity of the pin at B. b) Determine the relative velocity of the pin at <span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathrm">B</span></span></span></span> with respect to the collar at A.

WIFPXL The Asker · Mechanical Engineering

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Transcribed Image Text: The collar at A can move in the vertical direction and the pin at B is forced to move in the circular guide with a radius of . The collar and the pin is connected by an inextensible rope of . When is 60-degrees, the collar has an upwards velocity of and slowing down with an acceleration of a) Determine the acceleration and velocity of the pin at B. b) Determine the relative velocity of the pin at with respect to the collar at A.
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Transcribed Image Text: The collar at A can move in the vertical direction and the pin at B is forced to move in the circular guide with a radius of . The collar and the pin is connected by an inextensible rope of . When is 60-degrees, the collar has an upwards velocity of and slowing down with an acceleration of a) Determine the acceleration and velocity of the pin at B. b) Determine the relative velocity of the pin at with respect to the collar at A.