Question

An engine block is supported by a rope hoist attached to an overhead beam.when the block is pulled to one side by a horizontal force exerted by another rope,the tension in the rope hoist

Answer 1

When the block is supported by one rope only, the tension is $T_1=P$ , where P is weight of the block. When we pull the block fith the horizontal force F, it deviates by the angle α and the tension T changes its direction. In this case $P=T_2 \cdot cos α$, from where $T_2=P/cosα$. cosα < 1, so $T_2>T_1$. So the tension increases.