(d) Find the total kinetic energy evaluated from m. .Σ (e) Compare the answers for kinetic energy in parts (b) and (d).

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Need answer of part d,e fast
Stepl
a)
The moment of inertia of an object rotating about an axis of
rotation is given as
I = mr²
m is the mass of the object
r is the dis tan ce of the object from the axis of rotation
In the given problem, there are three particles lying on a rod, at
distances y=-4 m, y=-2 m and =3 m
These particles have masses 3, 2 and 4 kg respectively. This rod,
with the particles, rotates about the x axis with an angular speed
of 2.6 rad/s
The total moment of inertia of this rotating rod will be the sum of
the moment of inertia of all the three particles rotating about the
fixed x axis
Step2
b)
Thus,
I = m¡r,² + mzr2² + mzrz²
I = 3(-4)° + 2(–2)² + 4(3)²
I = 92 kg m²
And for this total moment of inertia of the rod, the total rotational
kinetic energy of the rod is
K =
w = 2.6 rad/s
K = × 92 × (2.6)²
K = 310. 96 J
Step3
c)
The tangential velocity of a rotating object is given as
Thus, for each of the 3 masses,
VAkg = 3 x 2. 6
VAkg = 7. 8 m/s
Vzkg = 2 x 2. 6
V2kg
5. 2 m/s
Vzka = 4 x 2. 6
Vykg = 10. 4 m/s
Step4
d)
Since we only answer up to 3 sub-parts, we'll answer the first 3.
Please resubmit the question and specify the other subparts (up
to 3) you'd like answered.
Transcribed Image Text:Stepl a) The moment of inertia of an object rotating about an axis of rotation is given as I = mr² m is the mass of the object r is the dis tan ce of the object from the axis of rotation In the given problem, there are three particles lying on a rod, at distances y=-4 m, y=-2 m and =3 m These particles have masses 3, 2 and 4 kg respectively. This rod, with the particles, rotates about the x axis with an angular speed of 2.6 rad/s The total moment of inertia of this rotating rod will be the sum of the moment of inertia of all the three particles rotating about the fixed x axis Step2 b) Thus, I = m¡r,² + mzr2² + mzrz² I = 3(-4)° + 2(–2)² + 4(3)² I = 92 kg m² And for this total moment of inertia of the rod, the total rotational kinetic energy of the rod is K = w = 2.6 rad/s K = × 92 × (2.6)² K = 310. 96 J Step3 c) The tangential velocity of a rotating object is given as Thus, for each of the 3 masses, VAkg = 3 x 2. 6 VAkg = 7. 8 m/s Vzkg = 2 x 2. 6 V2kg 5. 2 m/s Vzka = 4 x 2. 6 Vykg = 10. 4 m/s Step4 d) Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you'd like answered.
Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular
speed of 2.60 rad/s.
4.00 kg
y = 3.00 m
2.00 kg Oy=-2.00 m
3.00 kg (
y = -4.00 m
(a) Find the moment of inertia about the x axis.
kg - m2
(b) Find the total rotational kinetic energy evaluated from to?.
(c) Find the tangential speed of each particle.
4.00 kg particle
2.00 kg particle
3.00 kg particle
m/s
m/s
m/s
(d) Find the total kinetic energy evaluated from !mv?.
(e) Compare the answers for kinetic energy in parts (b) and (d).
Transcribed Image Text:Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 2.60 rad/s. 4.00 kg y = 3.00 m 2.00 kg Oy=-2.00 m 3.00 kg ( y = -4.00 m (a) Find the moment of inertia about the x axis. kg - m2 (b) Find the total rotational kinetic energy evaluated from to?. (c) Find the tangential speed of each particle. 4.00 kg particle 2.00 kg particle 3.00 kg particle m/s m/s m/s (d) Find the total kinetic energy evaluated from !mv?. (e) Compare the answers for kinetic energy in parts (b) and (d).
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