Two boxes (see below) are linked rigidly and placed on an incline with an angle of 35°. The coefficients of kinetic friction are 0.12 and 0.28 between the inclined plane and Blocks 1 and 2, respectively. The masses of the blocks are 9 𝑘𝑔 and 6 𝑘𝑔, respectively. Assuming that the mass of the link is negligible compared to the mass of the blocks, a. Determine and plot the acceleration, velocity, and position of the two block system as functions of time. b. What is the force (in vector form) exerted on Block 1 by Block 2?

Question-Answer › Category: Engineering Mechanics › Two boxes (see below) are linked rigidly and placed on an incline with an angle of 35°. The coefficients of kinetic friction are 0.12 and 0.28 between the inclined plane and Blocks 1 and 2, respectively. The masses of the blocks are 9 𝑘𝑔 and 6 𝑘𝑔, respectively. Assuming that the mass of the link is negligible compared to the mass of the blocks, a. Determine and plot the acceleration, velocity, and position of the two block system as functions of time. b. What is the force (in vector form) exerted on Block 1 by Block 2?

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Rajesh kumar asked 7 months ago

1 Answers

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R K answered 7 months ago

Consider
N₁
APAHT
fs2
let
-
=
mig
176-6
Ni= mig сого
N₂
FSI = UKINI
Est
26 FST
-fst =
√3+
F52
FS₂
F52 =
N₂
=
a
M₂ g Bosq
syst According to
to Newten Law - (F = ma)
(M₁ + m₂) a = (m₁ g Sma + m₂ 9 smo - Fs₁ - FS2)
9x9.81x5m35+6x9.81x Sm35-8.68-13-5
(0) Velocity Us time I
ve
62.22 t
at
at
t=0
1.86.66
个
个
Sem
t
v
t = 2
+= 3
-124.94
62.22-
Position
= 1
+=o
t = 1
279.99
+=2
t = 3