This question refers to the situation in Figure 2, above. The mass of block A is 3.3 kg. The mass of cart B is 5.7 kg. The mass of cart C is 8.4 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 = 32 away from vertical. The coefficient of kinetic friction between block B and the plane beneath it is 0.41. 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

Principles of Physics: A Calculus-Based Text
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This question refers to the situation in Figure 2, above. The mass of
block A is 3.3 kg. The mass of cart B is 5.7 kg. The mass of cart C is
8.4 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 = 32 away from vertical. The coefficient of kinetic
friction between block B and the plane beneath it is 0.41.
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:This question refers to the situation in Figure 2, above. The mass of block A is 3.3 kg. The mass of cart B is 5.7 kg. The mass of cart C is 8.4 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 = 32 away from vertical. The coefficient of kinetic friction between block B and the plane beneath it is 0.41. 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.
Figure 2
В
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 =
y away from vertical.
C
Transcribed Image Text:Figure 2 В 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 = y away from vertical. C
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