A thin hoola-hoop of diameter D and mass M is hanging on a small nail on the wall so that it can rotate back and forth about the pivot point (the small nail). What is the moment of inertia of the hoola-hoop about the small nail?
a) I = (1/4)MD2
b) I = (1/2)MD2
c) I = (3/4)MD2
d) I = MD2
A thin hoola-hoop of diameter D and mass M is hanging on a small nail on...
6. A rigid sculpture consists of a thin hoop of mass m and radius R and two thin rods each of mass m and length L = 2R. The sculpture can pivot around a horizontal axis in the plane of the hoop passing through its center. What is the sculpture's rotational inertia I about the rotation axis in terms of m and R. rotation axis Answer | 1 = 58mR2
A hollow hoop is hung on a pivot
P, as shown in the figure, and oscillates back and forth. The
radius of the hoop is R= 25.0 cm, and its mass is 3.0
kg.
A hollow hoop is hung on a pivot P, as shown in the figure, and oscillates back and forth. The radius of the hoop is R = 25.0 cm, and its mass is 3.0 kg. Using the equation derived in class for the period of a...
Consider hanging masses off the ends of a meter stick which is nailed to the wall, as shown the figure. Take the meter stick to be a 1.0 m long massless rod, the nail is d = 12 from the end as shown, and it is free to rotate about this point. If I put a mass m_1 = 5.0 kg onto the left of the meter stick, how much mass m_2 should I put onto the right end to...
Problem 3. (24 points) A uniform rod of mass M and length d is free to pivot about one end. The moment of inertia of the rod about the pivot is I = Md2/3, and the rod's center of mass is at its midpoint. The rod is released from rest at angle above the horizontal, then rotates downward under the influence of gravity. d x e When the rod reaches angle below the horizontal, determine (a) (4 points) the rotational...
A uniform thin wire of mass M is bent into the form of a square OPQR of side 2a. Show that the moment of inertia of the wire about an axis through O perpendicular to the plane of the square is 10Ma2/3 . The wire frame can rotate freely in the vertical plane about a smooth pivot at O. It is held with P vertically above O and is released from rest. Find the initial acceleration of the point P....
A uniform wooden meter stick has a mass of m = 799 g. A clamp can be attached to the measuring stick at any point Palong the stick so that the stuck can rotate freely about point P, which is at a distance d from the zero-end of the stick as shown. Part (a) Calculate the moment of inertia in kg-m of the meter stick if the pivot point P is at the 50-cm mark. Part (b) Calculate the moment of inertia...
A block of mass m is hanging from a cord that is wrapped around a pulley with radius R and moment of inertia I. When the block is released from rest, the pulley will rotate counterclockwise. Part A Solve for the acceleration of the block (your answer can include m,g,R, and I) Part B Draw a free body diagram showing the forces that act on the block Part C What happens to the acceleration of the block if the moment...
The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.527 m and mass 4.70 kg , and two thin crossed rods of mass 8.66 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0651 m thick, made out of a material with a density of 6450 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the...
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Question 5 1 pts A block of mass m is undergoing SHM on a horizontal, frictionless surface while it is attached to a light, horizontal spring that has force constant k. The amplitude of the SHM of the block is 0.9 m What is the distance of the block from its equilibrium position when its speed V is a quarter of its maximum speed Umax? (report the result in 2 decimal points) % We want to...
A uniform thin rod of length L = 40.0 cm and mass M = 800 g is pinned so that it can swing about a point that is one-third of the way from one end of the rod. You pull the rod away from equilibrium by a small angle and release it, so that the rod swings back and forth. (a) What is the period of the rod’s motion as it swings back and forth? (b) What is the length...