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(II) Figure 4-53 shows a block (mass mA) on a smooth
Chapter 19, Problem 31P(choose chapter or problem)
(II) Figure shows a block (mass \(m_{A}\) ) on a smooth horizontal 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.
Equation Transcription:
Text Transcription:
m_A
(m_B)
Questions & Answers
QUESTION:
(II) Figure shows a block (mass \(m_{A}\) ) on a smooth horizontal 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.
Equation Transcription:
Text Transcription:
m_A
(m_B)
ANSWER:
Step 1 of 4
a)
As we know the weight refers to the gravitational force on an object, and is equal to the product of the object's mass and the acceleration of gravity
The force which is a vector, can be considered as a push or pull. As we know the friction that object exerts on the other can be written as
Where, is the normal force (the force each object exerts on the perpendicular to their constant surfaces).