This question refers to the situation in Figure 2, above. The mass of block A is 3.8 kg. The mass of cart Bis 5.3 kg. The mass of cart C is 8.2 kg. The plane under block B is inclined at an angle theta - 0 = 72 degrees away from vertical. The plane under cart C is inclined at an angle phi = p = 38 away from vertical. The coefficient of kinetic friction between block B and the plane beneath it is 0.47. The blocks are all moving. The velocity of Block A points downward, and none of the strings stretch. Assume the only significant forces in this situation are tension forces, normal forces, friction only between
This question refers to the situation in Figure 2, above. The mass of block A is 3.8 kg. The mass of cart Bis 5.3 kg. The mass of cart C is 8.2 kg. The plane under block B is inclined at an angle theta - 0 = 72 degrees away from vertical. The plane under cart C is inclined at an angle phi = p = 38 away from vertical. The coefficient of kinetic friction between block B and the plane beneath it is 0.47. The blocks are all moving. The velocity of Block A points downward, and none of the strings stretch. Assume the only significant forces in this situation are tension forces, normal forces, friction only between
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To be clear: You must write the words "Newton's Second Law" and point to an example of it within your solution! Write out the second law using symbols, not numbers. Writing "net force = m a" does not qualify because that could be written for any object. The symbols and subscripts should clearly refer to specific forces in each diagram. Examples, good and bad, of what might qualify are shown below.
The following are three examples of Newton's second law written for an object called "E" (which is not in this question). Credit would be given for the first example but not for the second or third.
-
- This is a good example: mE g−TEJ sinθ1+NER cosθ2=mE a
- This is a bad example that is not specific enough: Σ FE=mE a
- This is a bad example with unspecified numbers and without symbols: (1.7 kg) g−(3.8 N) sin(59∘)+(4.9 N)cos(34∘)=(1.7 kg) a
Once you have begun your solution with symbols in Newton's Second Law, you may begin to substitute numbers as needed.
Transcribed Image Text:This question refers to the situation in Figure 2,
above. The mass of block A is 3.8 kg. The mass of cart
B is 5.3 kg. The mass of cart C is 8.2 kg. The plane
under block B is inclined at an angle theta = 0 = 72
degrees away from vertical. The plane under cart C is
inclined at an angle phi = p = 38 away from vertical.
The coefficient of kinetic friction between block B
and the plane beneath it is 0.47.
The blocks are all moving. The velocity of Block A
points downward, and none of the strings stretch.
Assume the only significant forces in this situation are
tension forces, normal forces, friction only between
block B and the plane beneath it, and gravity with g =
9.81 m/s?.
Calculate the acceleration of block A, in units of
meters per second squared. The sign, positive or
negative, of your answer is important and for this
problem a positive acceleration points downward for
block A.
Transcribed Image Text:The diagram in Figure 2, below, shows the situation
for questions 3, 4, 5, and 6. You probably should read
the instructions for questions 5 and 6 before solving
problems 3 and 4.
Figure 2
B
A
Block A is hanging from a massless string which runs
over a massless and frictionless pulley and connects
to Block B. Block B slides over an inclined plane with
ordinary kinetic friction. The plane under block B is
inclined at an angle theta = 0 away from vertical. The
other side of Block B is connected to another
massless string which runs over another massless and
frictionless pulley to connect to Cart C. Cart C rolls
without friction over a plane which is inclined at an
angle of phi = p away from vertical.
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