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Calculate the acceleration of block A, in

Calculate the acceleration of block A, in

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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
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 5.5 kg. The mass of cart C is 8.7 kg. The plane under block B is inclined at an angle theta = 0 = 61 degrees away from vertical. The plane under cart C is inclined at an angle phi = p = 36 away from vertical. The coefficient of kinetic friction between block B and the plane beneath it is 0.67. The blocks are all moving. The velocity of Block A points upward, 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 3.8 kg. The mass of cart B is 5.5 kg. The mass of cart C is 8.7 kg. The plane under block B is inclined at an angle theta = 0 = 61 degrees away from vertical. The plane under cart C is inclined at an angle phi = p = 36 away from vertical. The coefficient of kinetic friction between block B and the plane beneath it is 0.67. The blocks are all moving. The velocity of Block A points upward, 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.
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