A man of 40 kg sits on a piano stool at 0.6 m distance from the axis of rotation. He is then given an angular velocity of 5 rad/s in 3s. He then pulled two dumbbells each having a mass of 5 kg. (a) Find the torque required for rotation. (b) Find the angular velocity after the man pulled two dumbbells with him.
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- A metal hoop lies on a horizontal table, free to rotate about a fixed vertical axis through its center while a constant tangential force applied to its edge exerts a torque of magnitude 1.75 x 10-2 N · m for 3.00 s. HINT (a) Calculate the magnitude of the hoop's change in angular momentum (in kg · m2/s). |kg - m²/s (b) Find the change in the hoop's angular speed (in rad/s) if its mass and radius are 0.270 kg and 0.180 m, respectively. rad/sIf you and your friend are sitting on a seesaw and their masses are 60 kg and 80 kg, (a) how far you have to sit from the center of seesaw to balance it if your friend is sitting at 30 cm from the center on other side? (b) What are torques created by each of you? What are the directions of torque?A force F=(-5j+3k)N is applied to an object that is a distance r=(2j+6k)m from a pivot point. (a) Calculate the torque on the object.(b) Calculate the angle between r and F.
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