In the figure shown $$a3$$ $$=$$ $$6m/s2$$ (downwards) and $$a2$$ $$=$$ $$4m/s2$$ (upwards). Find acceleration of $$1$$.

Question

Infinity Learn · Accepted Answer

Since the points $$1$$,$$2$$,$$3$$ and are movable, so let their displacements are  $$x1$$ , $$x2$$ , $$x3$$ and $$x4$$ We observe that the length of the strings between $$1$$ and $$4$$ and $$2$$ and $$3$$ are constants.$$x1+x4=$$ℓ$$1$$;$$x2$$−$$x4+x3$$−$$x4=$$ℓ$$2Differentiating$$ twice w.r.t time, we $$geta1+a4=0$$⇒$$a1=$$−$$a4$$→(1)a2$$−$$a4+a3$$−$$a4=0$$⇒$$a2+a3$$−$$2a4=0$$→$$(2)a2=$$−$$4ms$$−$$2$$,$$a3=6ms$$−$$2$$;−$$4+6$$−$$2a4=02a4=2$$⇒$$a4=1ms$$−$$2$$;  $$From(1), $$a1=$$−$$a4$$;$$a1=$$−$$1ms$$−$$2$$; $$a1=1ms$$−$$2$$ upwards

In the figure shown a₃ = 6m/s² (downwards) and a₂ = 4m/s² (upwards). Find acceleration of 1.

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In the figure shown a3 = 6m/s2 (downwards) and a2 = 4m/s2 (upwards). Find acceleration of 1.

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In the figure shown a₃ = 6m/s² (downwards) and a₂ = 4m/s² (upwards). Find acceleration of 1.