Question

(II) Two masses are connected by a string as shown in Fig. $34 .$ Mass $m_{\Lambda}=4.0 \mathrm{kg}$ rests on a frictionless inclined plane, while $m_{\mathrm{B}}=5.0 \mathrm{kg}$ is initially held at a height of $h=0.75 \mathrm{m}$ above the floor. $(a)$ If $m_{\mathrm{B}}$ is allowed to fall, what will be the resulting acceleration of the masses? $(b)$ If the masses were initially at rest, use the kinematic equations to find their velocity just before $m_{B}$ hits the floor. (c) Use conservation of energy to find the velocity of the masses just before $m_{B}$ hits the floor. You should get the same answer as in part $(b) .$

          (II) Two masses are connected by a string as shown in
Fig. $34 .$ Mass $m_{\Lambda}=4.0 \mathrm{kg}$ rests on a frictionless inclined
plane, while $m_{\mathrm{B}}=5.0 \mathrm{kg}$ is initially held at a height of
$h=0.75 \mathrm{m}$ above the floor. $(a)$ If $m_{\mathrm{B}}$ is allowed to fall, what
will be the resulting acceleration of the masses? $(b)$ If the
masses were initially at rest, use the kinematic equations
to find their velocity just before $m_{B}$ hits the floor. (c) Use
conservation of energy to find the velocity of the masses just
before $m_{B}$ hits the floor. You should get the same answer as
in part $(b) .$

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Added by Amy N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kritika Mishra

05/15/2022

Step 1

0 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 = 49 \, \text{N}$. The force acting on mass $m_A$ is its weight component along the incline, $m_Ag\sin\theta = 4.0 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 \cdot \sin 37^\circ = 29.2 \, \text{N}$. The net force acting on the Show more…

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(II) Two masses are connected by a string as shown in Fig. $34 .$ Mass $m_{\Lambda}=4.0 \mathrm{kg}$ rests on a frictionless inclined plane, while $m_{\mathrm{B}}=5.0 \mathrm{kg}$ is initially held at a height of $h=0.75 \mathrm{m}$ above the floor. $(a)$ If $m_{\mathrm{B}}$ is allowed to fall, what will be the resulting acceleration of the masses? $(b)$ If the masses were initially at rest, use the kinematic equations to find their velocity just before $m_{B}$ hits the floor. (c) Use conservation of energy to find the velocity of the masses just before $m_{B}$ hits the floor. You should get the same answer as in part $(b) .$

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