A long, thin rod (with uniformly distributed mass) rotates about an axis through its center. The rod has mass 8.kg and length 13.4.cm. Find the moment of inertia of the rod. 0.01261_kg-m? 0.01432 kg-m? С. A. D. 0.0132 kg-m? В. Е. 0.01389_kg-m? 0.01197_kg-m² F. 0.01139_kg-m²
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The moment of inertia of a rod rotating about an axis passing through its center is given by,
where is the mass of the rod, and is the length of the rod.
The mass of the rod is
The length of the rod is
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- A disc with a radius of 0.53 m is fixed to rotate about its center. Three forces act on the object as noted below. What magnitude net torque acts on the object? F1 = 14.7 N tangentially applied to the outer edge. F2 = 11.1 N tangentially applied to the outer edge. F3 = 11.5 N tangentially applied at a distance 0 m above the axis of rotation at an angle theta = 34.3 degrees with respect to the vertical. The location of F3 is at the center of the circle (a distance of 0 from the axis)A typical compact disk has a mass of 15 g and a diameter of 120 mm. What is its moment of inertia about an axis through its center, perpendicular to the disk?A. 2.7 x 10-5 kg ⋅ m2 B. 5.4 x 10-5 kg ⋅ m2C. 1.1 x 10-4 kg ⋅ m2 D. 2.2 x 10-4 kg ⋅ m26. A flywheel, a solid disk with moment of inertia 2.5 kg-m2, spins on a central axis at 400 RPM. A brake is applied, resulting in a constant slowing torque of 15 Nm. How many revolutions does the wheel make before it stops? 38.2 23.3 4.80 56.4 7.26
- . The four masses shown in FIGURE EX12.13 are connected by massless, rigid rods. a. Find the coordinates of the center of mass. b. Find the moment of inertia about an axis that passes through mass A and is per- pendicular to the page. B y 200 g 10 cm A 100 g FIGURE EX12.13 300 g 8 cm C D 200 g XSP1. A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kg-m². A child pushes the merry- go-round with a constant force of 80 N applied at the edge and parallel to the edge. A frictional torque of 12 N-m acts at the axle of the merry-go-round. a. What is the net torque acting on the merry-go-round about its axle? b. What is the rotational acceleration of the merry-go- round? c. At this rate, what will the rotational velocity of the merry-go-round be after 15 s if it starts from rest? d. What is the rotational acceleration of the merry-go- round if the child stops pushing after 15 s? How long will it take for the merry-go-round to stop turning?20. The 57.2cm diameter disk rotates counterclockwise on an axle through its center. F1=42.6N, F2=70.8N, F3=70.8N, F4=42.6N, and d=5.34cm. What is the net torque about the axle? Let the counterclockwise direction be positive. F31 +F₂ F d 45⁰
- 28The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 1879 N1879 N with an effective perpendicular lever arm of 3.55 cm3.55 cm, producing an angular acceleration of the forearm of 130.0 rad / s2130.0 rad / s2. What is the moment of inertia of the boxer's forearm?A meterstick of negligible mass is pivoted at the 0.60 m mark with a 2.0 kg blue bag on one end and a 1.0 kg red bag on the other, at the 1.0 m mark. The stick is released from rest in a horizontal position. Find the magnitude of the net torque on the meterstick about the pivot point. Pick the value on the nearest whole number. O 10 N.m 16 N.m 8.0 N.m ○ 2.0 N.m
- The 470 g bar is rotating as shown in the figure. What is the angular momentum of the bar about the axle?Express your answer with the appropriate units.2. Calculate the moment of inertia of a rectangular plate that is 24.0 cm long and 12.0 cm wide, with a mass of 1.25 kg, a. for an axis of that is perpendicular to the plate passing through its center. b. for an axis along its long edge. c. for an axis along its short edge.A thin rod has a length of .340 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of. 435 rad/s and a moment of inertia of 1.04 x 10-3 kg.m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug ( whose mass is 5 x 10-3) gets where it's going, what is the change in the angular velocity of the rod ?