Calculate the rotational inertia of a meter stick, with mass 0.67 kg, about an axis perpendicular to the stick and located at the 39 cm mark. (Treat the stick as a thin rod.) ]× kg•m²

Problem 1: A wheel with radius 10.8 cm starts from rest and increases its rotational speed until it reaches an angular velocity of 34.8 rad/s in 7.3 s. Part (a) What is the angular acceleration in rad/s2? a = rad/s2 sin() cos() tan() 7 8. 9 НOME cotan() asin() аcos() ↑^|^L 4 5 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() + END O Degrees VOL BACKSPACE DEL CLEAR Part (b) Through what angle, in radians, does the wheel rotate during this time?

Some people are able to spin a basketball on the tip of a finger. It is often done by balancing the ball on the tip of the finger and brushing the other hand along the side of the ball to cause it to rotate. Suppose the ball begins from rest and reaches a final angular speed of 19.75 rad/s in 1.20 s. (a) Assuming the ball is subject to a constant angular acceleration, what is the magnitude of the constant angular acceleration? |rad/s2 (b) Through how many revolutions does the ball rotate during the 1.20 s? rev

Two astronauts (figure), each having a mass of 76.0 kg, are connected by a d = 9.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.70 m/s. CM d (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. kg • m2/s (b) Calculate the rotational energy of the system. k) (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? kg • m2/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? kJ

A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 1.80 m/s2 after its brakes are applied (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tire have radii of 0.305 m? rev (b) What is the angular speed of the wheels when the car has traveled half the total distance? rad/s Need Help? Read It

A cylinder with a radius of 1.33 m has a moment of inertia of 272 kg•m^2. What is its mass? [?]kg

bage An arm swings from neutral (0 deg) to 94.3 deg flexion and then back 11.5 deg. Calculate the angular displacement 0 in radians to 2 decimal places. Answer: Check 1 g 4 Ps 8°C Heavy rain des Next page 4 22:07 03/12/2023 □

A disk has a moment of inertia of 2.0 x 10−4 kg·m2 and rotates with an angular speed of 3.0 rad/sec. What net torque must be applied to bring it to rest within 4.0  s?    I disk= 1/2 m r 2) )

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• The hour hand on a certain clock is 8.2 cm long. Find the tangential speed of the tip of this hand.