1.7. A box of mass \( m \) is connected by a rope that passes over a pulley to a box of mass \( M \), as shown in Fig. P1.7. The coefficient of friction between \( m \) and the horizontal surface \( A B \) or the inclined 24 Introduction to Newtonian Mechanics Chap. 1 surface \( B C \) is \( \mu \). Find the acceleration of the system and the tension in the rope for the portion whea the mass is moving (a) between \( A \) and \( B \), and (b) between \( B \) and \( C \). Figure P1.7
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(II) Figure $4-49$ shows a block (mass $m_{\mathrm{A}} )$ on a smooth horizontal surface, connected by a thin cord that passes over a pulley to a second block $\left(m_{\mathrm{B}}\right),$ which hangs vertically. (a) Draw a free-body diagram for each block, showing the force of gravity on each, the force (tension) exerted by the cord, and any normal force. (b) Apply Newton's second law to find formulas for the acceleration of the system and for the tension in the cord. Ignore friction and the masses of the pulley and cord.
(II) Figure 45 shows a block (mass $m_{A} )$ on a smooth hori- zontal surface, connected by a thin cord that passes over a pulley to a second block $\left(m_{B}\right)$ , which hangs vertically. (a) Draw a free-body diagram for each block, showing the force of gravity on each, the force (tension) exerted by the cord, and any normal force. (b) Apply Newton's second law to find formulas for the acceleration of the system and for the tension in the cord. Ignore friction and the masses of the pulley and cord.
A block of mass m1 = 35 kg on a horizontal surface is connected to a mass m2 = 17.4 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.25. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass. Consider Newton's Second Law for each mass.
Emily A.
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