A block of mass \( 1 \mathrm{~kg} \) is attached to \( a 1.25 \math...

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A block of mass \( 1 \mathrm{~kg} \) is attached to \( a 1.25 \mathrm{~m} \) long light string tied to the apex of a triangular smooth block as shown in the figure. At \( t=0 \), the triangular block is imparted a constant angular acceleration \( \sqrt{\frac{40}{3}} \) rad/s \( { }^{2} \) about an axis along its vertical side. Assume that the block is stationary with respect to triangular block.
At what time will the block leaves contact with the triangular block?
(a) \( 0.5 \mathrm{~s} \)
(b) \( 1 \mathrm{~s} \)
(c) \( 2 \mathrm{~s} \)
(d) \( 3 \mathrm{~s} \)
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