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- Find IOG, The mass moment of inertia for the center of mass about the z′ axis is Iz′z′G=494.6 kg⋅m2An object is held and spun in gravity-free space, with mass m at the end of a spring of constant k and length lo . Ss it spins, the spring extends dependent on angular velocity ω, and when ω is constnat, the total length of the spring is lo + x. What is x in terms of the other variables:Macmillan Learning The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Approximate the pulley as a uniform disk with mass m₂ = 5.13 kg and radius rp=0.450 m. The hanging masses are m = 20.7 kg and mg = 12.7 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, 7₁, and TR. respectively. a= TL = TR = 2 m/s N m₁ 111
- A uniform, thin, spherical shell of radius, R, and mass, m, is rolling without slipping or sliding on a level surface. If the center-of-mass velocity of the ball is vCM what is the total kinetic energy of the ball? Hint: 2/3 mR2= For a particle on a sphere having l 3, work out the magnitude of the angular momentum (L) and of its possible projections (L₂ = 1₂) onto the z-axis in units of ħ. Give the angle from the z-axis for the possible values of the projections and sketch a diagram. Comment on our knowledge of the possible projections of the angular momentum onto the x- or y-axis.Please answer the question correctly
- only type answer with all steps pleaseWith a speed of v(initial), a perfectly rounded mass ball as known as “m” is moving towards the left and touches a uniform disc of mass as known as M and radius as known as R which is covered in super glue that instantly sticks whatever it touches and is pivoted about its center. Find the answers to the following questions How fast is the whole system rotating after the collision? Before coming to rest, to what angle will the system rotate?