At t=0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2 rad/s. Two seconds later it has turned 5 complete revolutions. What is the angular acceleration of this wheel?
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Answer:
a) 17 rad/s^2
b) 14 rad/s^2
c) 20 rad/s^2
d) 23 rad/s^2
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A 9.00 kg hanging weight is connected to a string over a pulley to a 5.00 kg block that is sliding on a flat table. If the coefficient of kinetic friction is 0.15, find the tension in the string.
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Answer:
a) 28.3 N
b) 36.2 N
c) 40.4 N
d) 53.4 N
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OTA: Please take this problem only if you can show step by step problem solving and equations used. Thank you.

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The 3-pages solution provides a step-by-step explanations and full derivations how to solve these two problems

... of rotational motion: By analogy with the Newton's laws of motion... of rest or of uniform circular motion unless acted ... The rate of change of angular momentum of ...

... According to Newton's third law of motion, for every action there is ... force acting on the body in motion is the ... The angular speed of the coin after 2.25 second...

... and acceleration of the block, and uses Newton's first and second law... The general motion of the block P can be ... Where ω is the angular frequency and ϕ is the ...

... Write down the appropriate equation applying Newton's second law. ... 340 N). mg Writing equation of motion for the ...Angular velocity of the blade ω = 300 rpm = 300 ...

... Why? We have to write Newton's second law for the linear motion of each mass and then for the angular motion of the pulley. The linear equations are: ...

... Determine the magnitude of the angular momentum of ... try to stop the relative motion between the ... Hence according to Newton's second law the retardation (negative ...

... By applying Newton's second law F=ma to the mass ... t=0 when one begins observing the oscillatory motion). Now, velocity v = (a) Therefore, Angular Frequency = (b ...

... 3600 s ) = −20.44m / s 2 a= = =− t 0.2 s 0.2 s Newton's second law of motion: F = ma ... a. the angular velocity is 1rev = 2π radians 0.5 × 2π w = 0.5rev ...