MI.2. Two blocks are connected by a massless string over a pulley of radius 2.40 cm and rotational inertia 7.40 x 10“ kg-m². The mass of block 1 is 6.20 kg; the mass of block 2 is unknown, and it is also not known whether 2 there is friction between block 2 and the 1 surface. The pulley's axis is frictionless. When the system is released from rest, the pulley turns through 1.30 rad in 91 ms (1 ms = 10³ s) %3D and the acceleration of the blocks is constant. Find (a) the magnitude of the pulley's angular acceleration; (b) the magnitude of the blocks' acceleration; and (c) the tensions T1 and T2 in the two sections of the string.

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Chapter11: Angular Momentum
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MI.2.
Two blocks are connected by a
massless string over a pulley of radius 2.40 cm
and rotational inertia 7.40 x 10* kg•m. The
mass of block 1 is 6.20 kg; the mass of block 2
is unknown, and it is also not known whether
2
there is friction between block 2 and the
1
surface. The pulley's axis is frictionless. When
the system is released from rest, the pulley
turns through 1.30 rad in 91 ms (1 ms = 10 s)
and the acceleration of the blocks is constant.
Find (a) the magnitude of the pulley's angular
acceleration; (b) the magnitude of the blocks'
acceleration; and (c) the tensions T1 and T2 in
the two sections of the string.
Transcribed Image Text:MI.2. Two blocks are connected by a massless string over a pulley of radius 2.40 cm and rotational inertia 7.40 x 10* kg•m. The mass of block 1 is 6.20 kg; the mass of block 2 is unknown, and it is also not known whether 2 there is friction between block 2 and the 1 surface. The pulley's axis is frictionless. When the system is released from rest, the pulley turns through 1.30 rad in 91 ms (1 ms = 10 s) and the acceleration of the blocks is constant. Find (a) the magnitude of the pulley's angular acceleration; (b) the magnitude of the blocks' acceleration; and (c) the tensions T1 and T2 in the two sections of the string.
2.
Two biocks are connected by a
massless string over a pulley of radius 2.40 cm
and rotational inertia 7.40 x 10 kg m?. The
mass of block 1 is 6.20 kg; the mass of block 2
is unknown, and it is also not known whether
2
there is friction between block 2 and the
1
surface. The pulley's axis is frictionless. When
the system is released from rest, the pulley
turns through 1.30 rad in 91 ms (1 ms = 10 s)
and the acceleration of the blocks is constant.
Find (a) the magnitude of the pulley's angular
acceleration; (b) the magnitude of the blocks'
acceleration; and (c) the tensions T1 and T2 in
the two sections of the string.
(a)
2.
wiz0
1.30 rod
Ku=
314 real, >
(61 a =rd: (2.40+152m)( 314 radle')
: 7.54 mls?
Farty: mig- T,: m,a
T;: m,(g-a) = (6.204,1(9.8 "1,-7.5リリ
%3D
:14.0N
Tnet ? Tir-Tzr:(T,-Telr
Inet
(7.40-10y.m')(314 rade)
2. YOuIóm
2 9,7N
Tz:T, - 9.1こ。 14.0N-9.7 N = 4,3 N
%3D
Transcribed Image Text:2. Two biocks are connected by a massless string over a pulley of radius 2.40 cm and rotational inertia 7.40 x 10 kg m?. The mass of block 1 is 6.20 kg; the mass of block 2 is unknown, and it is also not known whether 2 there is friction between block 2 and the 1 surface. The pulley's axis is frictionless. When the system is released from rest, the pulley turns through 1.30 rad in 91 ms (1 ms = 10 s) and the acceleration of the blocks is constant. Find (a) the magnitude of the pulley's angular acceleration; (b) the magnitude of the blocks' acceleration; and (c) the tensions T1 and T2 in the two sections of the string. (a) 2. wiz0 1.30 rod Ku= 314 real, > (61 a =rd: (2.40+152m)( 314 radle') : 7.54 mls? Farty: mig- T,: m,a T;: m,(g-a) = (6.204,1(9.8 "1,-7.5リリ %3D :14.0N Tnet ? Tir-Tzr:(T,-Telr Inet (7.40-10y.m')(314 rade) 2. YOuIóm 2 9,7N Tz:T, - 9.1こ。 14.0N-9.7 N = 4,3 N %3D
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