Two blocks of mass m are connected at the ends of a massless rod of length 2d that is initially at rest. The rod is free to rotate about a frictionless axle through its center as shown in the figure (overhead view). A bullet of mass M and speed v is fired at the right block at the angle 0. If the bullet sticks inside the block, what will be the final angular velocity of the rod? aw d d m -pplication M
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- Two identical meter sticks are connected as shown in the diagram. The origin of the coordinate system is located where the two meter sticks are joined. y 1 m 1 m What is the moment of inertia of the two sticks about an axis perpendicular to meter sticks and passing through the center of mass of the whole system? Assume each meter stick has a mass m and length L.Consider a wood block of mass 1.00 kg, tied to a massless string of length 2.00 m, that is shot with a bullet of mass 5.00 g and a speed v = 400 m/s. The bullet goes through the block and continues out the other side, but with a smaller velocity.Treat the block as a point-like mass. i. What is the angular momentum of the bullet about the point where the string is tied? ii. If the block eventually rises to a height 0.45 m above its initial height, what is its velocity just after the collision? What is its angular mometum? iii. What is the angular momentum of the bullet immediately after the collision, since angular momentum is conserved? What is the velocity of the bullet after the collision?A 1.8 kg bicycle tire with a radius of 31 cm rotates with an angular speed of 155 rpm. Part A Find the angular momentum of the tire, assuming it can be modeled as a hoop. Express your answer using two significant figures. L = ΠΙ ΑΣΦ www ? kg m²/s .
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