Answer:
Part a)

Part b)

Explanation:
Part a)
Angular speed of the pedal is changing from 60 rpm to 90 rpm in 10 s
so the angular acceleration is given as

so we will have


now the tangential acceleration of the pedal is given as



Part b)
Total angular displacement made by the sprocket in the interval of 10 s is given as



now length of the chain passing over it is given as



The speed of the man and the chair after the book is thrown is 0.2 m/s.
The given parameters:
- <em>mass of the book, m₁ = 2.1 kg</em>
- <em>speed of the book, u₁ = 7.2 m/s</em>
- <em>mass of the man, M = 70 kg</em>
- <em>mass of the book, m = 9.2 kg</em>
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The total mass of the man and the book is calculated as follows;
m₂ = 70 kg + 9.2 kg
m₂ = 79.2 kg
The speed of the man and the chair after the book is thrown is determined by applying the principle of conservation of linear momentum;

Thus, the speed of the man and the chair after the book is thrown is 0.2 m/s.
Learn more about conservation of linear momentum here: brainly.com/question/7538238
Answer:
9.6 rad/s
Explanation:
= length of the metal rod = 50 cm = 0.50 m
= Mass of the long metal rod = 780 g = 0.780 kg
Moment of inertia of the rod about one end is given as

= force applied by the hammer blow = 1000 N
Torque produced due to the hammer blow is given as



= time of blow = 2.5 ms = 0.0025 s
= Angular velocity after the blow
Using Impulse-change in angular momentum, we have

It’s atoms thank me later (give me brailiest)