Little Rock-PHYS 1321-Fall17-BLANTON Activities and Due Dates HW: Dynamics /24/2

Question

Little Rock-PHYS 1321-Fall17-BLANTON Activities and Due Dates HW: Dynamics /24/2017 06:00 PM 78.5/100 10/18/2017 05:28 PM Gi -Print Calculator-Periodic Table tion 20 of 30 niversity Physios Ma presented by Sapling Leaming Two blocks are connected over a massless, frictionless pulley as shown in the figure below. The mass of block 2is 10.9kg, and the coefficient ofkinetic friction between block 2 and the i die so 200 The angle of the incline is 27.5. If block 2 is moving up the incline at constant speed, what is the mass of block1 Number kg Friction Hint

Explanation / Answer

Given,

m1 = ? ; m2 = 10.9 kg ; uk = 0.2 ; theta = 27.5 deg ;

Since the system is moving with constant speed this means that the acceleration of the system is zero.

for block 2 we can write:

T = m2g (sin(theta) + uk cos(theta))

T = 10.9 x 9.8 (sin27.5 + 0.2 x cos27.5)

T = 68.27 N

we can write for m1,

T - m1g = 0

m1g = T => m1 = T/g = 68.7/9.8 = 6.97 kg

Hence, m1 = 6.97 kg

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