The masses made of different materials are connected by a thin cord and sliding down on an inclined surface. If mA = mB = 5kg and μA = 0.2 and μB = 0.3, find;a-) the acceleration of each block b-) tension in the cord if ø = 32 ̊
Added by Ömer Faruk Ç.
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For block A: - There is a force of gravity pulling it downwards (mg) - There is a force of friction opposing its motion (μA * N) - There is tension in the cord pulling it upwards (T) For block B: - There is a force of gravity pulling it downwards (mg) - There Show more…
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Two blocks made of different materials, connected by a thin cord, slide down a plane ramp inclined at an angle to the horizontal, Fig. 4-76 (block $B$ is above block $A$). The masses of the blocks are $m_A$ and $m_B$ and the coefficients of friction are $\mu_A$ and $\mu_B$. If $m_A=m_B=$ 5.0 kg and $\mu_A=$ 0.20 and $\mu_B=$ 0.30, determine (a) the acceleration of the blocks and (b) the tension in the cord, for an angle $\theta =$ 32$^\circ$.(Figure can't copy) Fig. 4-76
(III) Two masses $m_A=$2.0 kg and $m_B=$5.0 kg are on inclines and are connected together by a string as shown in Fig. 4-61. The coefficient of kinetic friction between each mass and its incline is $\mu _k=$ 0.30. If $m_A$ moves up, and $m_B$ moves down, determine their acceleration. [Ignore masses of the (frictionless) pulley and the cord.] (Figure can't copy)Fig. 4-61
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Problems Involving Friction, Inclines
Block $A$ has a mass of $40 \mathrm{kg}$, and block $B$ has a mass of $8 \mathrm{kg}$. The coefficients of friction between all surfaces of contact are $\mu_{s}=0.20$ and $\mu_{k}=0.15 .$ If $P=0$, determine $(a)$ the acceleration of block $B$ (b) the tension in the cord.
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