Calculate the moment of inertia (in kg·m2) of a skater given the following information.   (a)The 88.0 kg skater is approximated as a cylinder that has a 0.130 m radius. ____kg·m2   (b)The skater with arms extended is approximately a cylinder that is 82.0 kg, has a 0.130 m radius, and has two 0.750 m long arms which are 3.00 kg each and extend straight out from the cylinder like rods rotated about their ends. _____kg·m2

The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 ✕ 103 N with an effective perpendicular lever arm of 6.00 cm, producing an angular acceleration of the forearm of 100 rad/s2. What is the moment of inertia (in kg·m2) of the boxer's forearm?  __________kg·m2

Multiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a model for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.068 kg-m² (including the effect of the dart) relative to the axis at the elbow. Assume also that the force M acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a tangential speed of 4.6 m/s in 0.10 s, starting from rest. Number Units Axis at elbow joigt M 0.28 m 0.025 m

A figure skater has a moment of inertia of 0.45 kg-m2. He is spinning at 315.6 rpm. He extends his arms until he slows down to 68.3 rpm. What is his new moment of inerta (in kg-m2)?

Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.80 m. The merry-go-round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. final angular velocity: грm

A box of unknown mass is suspended from the end of a strong, thin wire. The other end of the wire is wrapped around the outer rim of a solid disk whose massis 11.0 kg and radius is 54.0 cm. The disk turns on a frictionless axle through its center. The box travels a distance 12.0 m during a time interval of 3.40 s starting from rest.Find the mass of the box.

A 12.0-kg mass is located at the 4.0 mi + 3.5 m j + 3.0 m k. A 5.0-kg mass is located at -5.0 mi + 5.0 m j + 1.5 m k. Determine the moment of inertia (in kg.m²) of this system about an axis through the origin parallel to the x-axis. Your Answer: Answer

A turntable (disk) of radius r= 25.0 cm and rotational inertia 0.395 kg · m rotates with an angular speed of 3.04 rad/s around a frictionless, vertical axle. A wad of clay of mass m = 0.254 kg drops onto and sticks to the edge of the turntable. What is the new angular speed of the turntable? rad/s

A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.

A typical helicopter with four blades rotates at 300 rpm and has a kinetic energy of 2.45  105 J. What is the total moment of inertia, in kg · m2 of the blades?