A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m.   At takeoff, what is the diver’s moment of inertia about his transverse axis?

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A perfectly elastic ball bounces against a surface with a velocity vo = 2.4 m/s at an angle 0o = 45 degrees to the vertical. As a result of the impact, the ball bounces upward at an angle 0₁ = 23.2 degrees but also gains a topspin w₁ = 152 rad/s due to the rough surface. The ball has mass m = 10 grams and radius R = 16 mm. The moment of inertia of a solid sphere is /G = (2 m R²) / 5. The coefficient of restitution for the impact e = 1, so that energy can be assumed to be conserved during impact. g W₁ = 0 Vo 0₁ W₁ Calculate the magnitude of the velocity v₁ of the ball after impact. Ov=2.85 m/s O V = 2.4 m/s O V = 1.84 m/s O V = 1.67 m/s V₁

A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m.   After he tucks the body, what is his angular velocity about the transverse axis?

The position vector of a particle of mass 1.0 kg as a function of time is given by F= (6f + 10 tj ) m where 7 is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time (in kg m2/s)? Option 1 Option 2 Option 3 Option 4 Option 5 (20 tj) (120 tj) (60 tj) (30 tj) (240 tj)

Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg-m². When one person is standing on the carousel at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.600 rad/s. However, as this person moves inward to a point located 0.917 m from the center, the angular velocity increases to 0.800 rad/s. What is the porcon's marr?

A 45 kg figure skater is spinning on the toes of her skates at 1.3 rev/s. Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg, 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 71 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head. In this latter orientation, she can be modeled as a 45 kg, 20-cm-diameter, 200-cm-tall cylinder. Part A What is her new rotation frequency, in revolutions per second? Express your answer in revolutions per second. ► View Available Hint(s) W₂ Submit Provide Feedback ΑΣΦ ? rev/s

What is the moment of inertia a 30 cm long and 3.0 cm wide ruler, with a mass of 50 g, around the axis passing through the geometric center. For how much does the moment of inertia change if we drill a hole in the ruler with a diameter of 1.0 cm, 5.0 cm from the end of the ruler? (The solutions are 3750 g×cm^2 and -44 g×cm^2 )

A 1.40-kg particle moves in the xy plane with a velocity of v = (4.40 î – 3.30 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is ř = (1.50 î + 2.20 ĵ) m. k) kg · m2/s

A particle is to move in an xy plane, clockwise around the origin as seen from the positive side of the z axis. In unit- vector notation, what torque acts on the particle at time t = 2.9 s if the magnitude of its angular momentum about the 2/3/2 origin is (a)3.4 kg-m²/s, (b)3.4t² kg-m²/s3, (c)3.4t1/2 kg-m²/s3 , and (d)3.4/t² kg-m²*s? (a) Number i (b) Number i (c) Number MO (d) Number i i i i i i i i i j j j j i IN i k Units k Units k Units k Units ◄►