HW 4.1: Accelerating Systems (pg. 1 of 2) Q1 |TA Lifting Example: Three blocks (with masses shown) are being lifted so that they have initial upward speed of 10 m/s. The blocks uniformly slow down to rest over the course of 2 seconds. Answer all of the following for the time during which the blocks are slowing down. (a) On the dots below, draw free-body diagrams showing the forces acting on each of the three blocks. For each diagram, write an equation that relates the forces in the diagram to acceleration. 4kg TB 10 kg Tc Forces on the 6 kg block Forces on the 10 kg block Forces on the 4 kg block 6kg = 6*a = 4*a (b) On the squares below, draw external force diagrams showing only the external forces acting on each of the systems indicated. Please omit forces that balance. For each diagram, write an equation that relates the forces in the diagram to acceleration. Forces on the 6 kg -10 kg system Forces on the 10 kg -4 kg system Forces on the 6-10-4 kg system = (10+4)a = (6+10+4)a %3D = (6+10)a (c) Use the equations you wrote above to find each of the three tensions TA, TB, and Tc. Hint: find TA first! (d) Without referencing any math or any numbers, explain why TA is the greatest tension and Tc is the weakest tension, even though T2 is connected to the greatest mass.
HW 4.1: Accelerating Systems (pg. 1 of 2) Q1 |TA Lifting Example: Three blocks (with masses shown) are being lifted so that they have initial upward speed of 10 m/s. The blocks uniformly slow down to rest over the course of 2 seconds. Answer all of the following for the time during which the blocks are slowing down. (a) On the dots below, draw free-body diagrams showing the forces acting on each of the three blocks. For each diagram, write an equation that relates the forces in the diagram to acceleration. 4kg TB 10 kg Tc Forces on the 6 kg block Forces on the 10 kg block Forces on the 4 kg block 6kg = 6*a = 4*a (b) On the squares below, draw external force diagrams showing only the external forces acting on each of the systems indicated. Please omit forces that balance. For each diagram, write an equation that relates the forces in the diagram to acceleration. Forces on the 6 kg -10 kg system Forces on the 10 kg -4 kg system Forces on the 6-10-4 kg system = (10+4)a = (6+10+4)a %3D = (6+10)a (c) Use the equations you wrote above to find each of the three tensions TA, TB, and Tc. Hint: find TA first! (d) Without referencing any math or any numbers, explain why TA is the greatest tension and Tc is the weakest tension, even though T2 is connected to the greatest mass.
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Transcribed Image Text:HW 4.1: Accelerating Systems (pg. 1 of 2)
Q1
|TA
Lifting Example: Three blocks (with masses shown) are being lifted so that they have initial upward speed
of 10 m/s. The blocks uniformly slow down to rest over the course of 2 seconds. Answer all of the following
for the time during which the blocks are slowing down.
(a) On the dots below, draw free-body diagrams showing the forces acting on each of the three blocks. For
each diagram, write an equation that relates the forces in the diagram to acceleration.
4kg
TB
10 kg
Tc
Forces on the 6 kg block
Forces on the 10 kg block
Forces on the 4 kg block
6kg
= 6*a
= 4*a
(b) On the squares below, draw external force diagrams showing only the external forces acting on each of the systems indicated. Please
omit forces that balance. For each diagram, write an equation that relates the forces in the diagram to acceleration.
Forces on the 6 kg -10 kg system
Forces on the 10 kg -4 kg system
Forces on the 6-10-4 kg system
= (10+4)a
= (6+10+4)a
%3D
= (6+10)a
(c) Use the equations you wrote above to find each of the three tensions TA, TB, and Tc. Hint: find TA first!
(d) Without referencing any math or any numbers, explain why TA is the greatest tension and Tc is the weakest tension, even though T2 is
connected to the greatest mass.
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