1. Two blocks with masses m, and m2 are connected by a light string passing over a pulley of radius R and moment of inertia I. The kinetic friction coefficient between the boxes and inclined planes are respectively given by 4 and 2. The system starts from its rest position, and motion sets in the direction of mass m2.

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Note: use g=10 m/s? in your calculations
1. Two blocks with masses m, and m, are
connected by a light string passing over a pulley of
radius R and moment of inertia I. The kinetic
friction coefficient between the boxes and inclined
planes are respectively given by H1 and uz. The
system starts from its rest position, and motion
sets in the direction of mass m2.
(a) Write an expression for the linear acceleration a as a function of the parameters m,, m2, P, Hz, R,
I and inclination angles.
(b) For the given system parameters:
m1(kg)
m2(kg)
0,(0)
02(*)
I(kg.m²)
R(m)
1.5
3.5
45
60
3.0
1.5
Fill in the following table for string tension forces and accelerations corresponding to the given two
cases:
- Case 1: Inclined planes with kinetic friction coefficients u, = 0.2 and uz = 0.8.
- Case 2: Frictionless planes and ignorable mass of the disk.
Table 1: Problem 1 (Express your answer in three decimal places)
a (m/s³)
T(N)
T2(N)
a (rad/s²)
Case-1
Case-2
BELL
Insert
PintScE
Delete
PgUp
F10
F11
F12
NumLk
8
K
L
Transcribed Image Text:odf 1/4 100% Note: use g=10 m/s? in your calculations 1. Two blocks with masses m, and m, are connected by a light string passing over a pulley of radius R and moment of inertia I. The kinetic friction coefficient between the boxes and inclined planes are respectively given by H1 and uz. The system starts from its rest position, and motion sets in the direction of mass m2. (a) Write an expression for the linear acceleration a as a function of the parameters m,, m2, P, Hz, R, I and inclination angles. (b) For the given system parameters: m1(kg) m2(kg) 0,(0) 02(*) I(kg.m²) R(m) 1.5 3.5 45 60 3.0 1.5 Fill in the following table for string tension forces and accelerations corresponding to the given two cases: - Case 1: Inclined planes with kinetic friction coefficients u, = 0.2 and uz = 0.8. - Case 2: Frictionless planes and ignorable mass of the disk. Table 1: Problem 1 (Express your answer in three decimal places) a (m/s³) T(N) T2(N) a (rad/s²) Case-1 Case-2 BELL Insert PintScE Delete PgUp F10 F11 F12 NumLk 8 K L
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