The system of blocks on a frictionless surface in the diagram below is accelerating at \( 2 \mathrm{~m} / \mathrm{s}^{2} \). tension in the cord at \( \mathrm{X} \) ? \[ a-2.0 \mathrm{~m} / \mathrm{s}^{2} \longrightarrow \]
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Two blocks of masses m and 2m are held in equilibrium on a frictionless incline as in Figure P4.57. In terms of $m$ and $\theta,$ find (a) the magnitude of the tension $T_{1}$ in the upper cord and (b) the magnitude of the tension $T_{2}$ in the lower cord connecting the two blocks.
A 1.0-m-long massive steel cable drags a $20 \mathrm{kg}$ block across a horizontal, frictionless surface. A $100 \mathrm{N}$ force applied to the cable causes the block to travel $4.0 \mathrm{m}$ in $2.0 \mathrm{s} .$ Graph the tension in the cable as a function of position along the cable, starting at the point where the cable is attached to the block.
Two blocks of mass $M_{1}$ and $M_{2}$ are connected with a string passing over a pulley as shown in the figure. The block $M_{1}$ lies on a horizontal surface. The coefficient of friction between the block $M_{1}$ and horizontal surface is $\mu$. The system accelerates. What additional mass $m$ should be placed on the block $M_{1}$ so that the system does not accelerate (a) $\frac{M_{2}-M_{1}}{\mu}$ (b) $\frac{M_{2}}{\mu}-M_{1}$ (c) $M_{2}-\frac{M_{1}}{\mu}$ (d) $\left(M_{2}-M_{1}\right) \mu$
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