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lord [1]
3 years ago
6

A 4.00-m long rod is hinged at one end. The rod is initially held in the horizontal position, and then released as the free end

is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)
Physics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

3.75rad/s^2

Explanation:

Let g = 10m/s2. Gravity acting on the rod:

G = mg = 10M

Suppose the rod is uniform, then we can treat gravitational torque as gravity force acting on the center of mass, which is rod's midpoint

T = 0.5GR = 0.5*10M*4 = 20M

The moment of inertia of the rod about 1 end is

I = \frac{ML^2}{3} = \frac{M4^2}{3} = \frac{16M}{3} kgm^2

Then the angular acceleration as soon as it releases is

\alpha = \frac{T}{I} = \frac{20M*3}{16M} = \frac{60}{16} = 3.75rad/s^2

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The correct answer to the question is- C).Electrons are ripped off one material and held tightly by the other material.

EXPLANATION:

Before going to answer this question, first we have to understand the charging by friction.

There are three modes of charging a body, which are known as friction,conduction, and induction.

Friction: Friction is the type of charging a body due to the actual transfer of electrons when two substances of different electron affinities are rubbed with each other. During rubbing, the electrons from less electron affinity substance will be transferred to high affinity substance.

The substance which will accept electrons gets negatively charged, and the other substance will be positively charged.

There will be no transfer of protons from one substance to another as protons are bound inside the nuclei of atoms.

Hence, the correct answer to the question is that electrons are ripped off one material and held tightly by the other material.

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A +35 µC point charge is placed 46 cm from an identical +35 µC charge. How much work would be required to move a +0.50 µC test c
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Answer:

512.5 mJ

Explanation:

Let the two identical charges be q = +35 µC and distance between them be r₁ = 46 cm. A charge q' = +0.50 µC located mid-point between them is at r₂ = 46 cm/2 = 23 cm = 0.23 m.

The electric potential at this point due to the two charges q is thus

V = kq/r₂ + kq/r₂

= 2kq/r₂

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= 630/0.23  × 10³ V

= 2739.13 × 10³ V

= 2.739 MV

When the charge q' is moved 12 cm closer to either of the two charges, its distance from each charge is now r₃ = r₂ + 12 cm = 23 cm + 12 = 35 cm = 0.35 m and r₄ = r₂ - 12 cm = 23 cm - 12 cm = 11 cm = 0.11 cm.

So, the new electric potential at this point is

V' = kq/r₃ + kq/r₄

= kq(1/r₃ + 1/r₄)

= 9 × 10⁹ Nm²/C² × 35 × 10⁻⁶ C(1/0.35 m + 1/0.11 m)

= 315 × 10³(2.857 + 9.091) V

= 315 × 10³ (11.948) V

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Now, the work done in moving the charge q' to the point 12 cm from either charge is

W = q'(V' - V)

= 0.5 × 10⁻⁶ C(3.764 MV - 2.739 MV)

= 0.5 × 10⁻⁶ C(1.025 × 10⁶) V

= 0.5125 J

= 512.5 mJ

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