Acceleration of two blocks when one is push and one is pulled?
If F = 26.5 N, the angle is 57 degrees, M = 2.4 kg, the coefficient of kinetic friction is 0.2, and the vertical contact surfaces between the two blocks are frictionless, what is the magnitude of the acceleration of the blocks?
The acceleration of M I found to be:
#F_(Applied)-mu(m_Mg) = m_Ma#
#26.5-.2(2.4)(9.8) = 2.4a#
#21.796 = 2.4a#
#a=9.08 m/s^2#
The acceleration of 2M:
#Fcostheta-mu(mg-sintheta)=m_(2M)a#
#(26.5)cos57-.2[(4.8*9.8)-26.5sin57]=4.8a#
#a= 1.97m/s^2#
I tried subtracting and finding the average and neither were the correct answer. Should I have somehow set the equations equal to each other and solved for #a# or is there another way to find the acceleration of the entire system?
If F = 26.5 N, the angle is 57 degrees, M = 2.4 kg, the coefficient of kinetic friction is 0.2, and the vertical contact surfaces between the two blocks are frictionless, what is the magnitude of the acceleration of the blocks?
The acceleration of M I found to be:
The acceleration of 2M:
I tried subtracting and finding the average and neither were the correct answer. Should I have somehow set the equations equal to each other and solved for
1 Answer
please see below
Explanation:
The problem you faced was that you missed the normal reaction between the two blocks on the equations derived from their free body diagrams, and got two different values of acceleration from two equations.
