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bija089
7 days ago
6

A small metallic bob is suspended from the ceiling by a thread of negligible mass. The ball is then set in motion in a horizonta

l circle so that the thread describes a cone. Calculate the magnitude of the angular momentum of the bob about a vertical axis through the supporting point. The acceleration of gravity is 9.8 m/s2. Answer in units of kg · m2/s
Physics
1 answer:
Yuliya22 [2.9K]7 days ago
8 0

Answer:

19.99 kg m²/s

Explanation:

Angular Momentum (L) is determined by multiplying the moment of Inertia (I) with angular velocity (w)

L = m r × v.

where r and v are at right angles,[TAG_16]]

with r = lsinθ.

Here, l = 2.4 m

θ= 34°

g = 9.8 m/s² and m = 5 kg

applying Newton's second law to both vertical and horizontal forces.

T cos θ − m g = 0

T sin θ − mw² lsin θ = 0

and T represents the force acting on the bob by the wire

w = √g / lcosθ

= √ 9.8 / 2.4 ×cos 34

= 2.2193 rad/s

the angular momentum is calculated as L = mr× v

= mw (lsin θ)²

= 5 × 2.2193 (2.4 ×sin 34°)²

=19.99 kg m²/s

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