The figure shows three point masses on the vertices of a 3-4-5 triangle with mass mi located at point 1, mass m₂ located at point 2, etc. Find the system's moment of inertia about an axis perpendicular to the screen and passing through point 1 if m₁ = 7.4 kg, m₂ = 5.17 kg, and m3 = 7.55 kg. 4 mi I = || 3.0 m m3 m2 2 kg. m² 4.0 m

Three point objects with masses ?1=2.6 kg, ?2=4.0 kg,and ?3=0.90 kg are arranged in the configuration shown in the figure. The distance to mass ?1 is ?1=25 cm and the distance to mass ?3 is ?3=41 cm. The distances are measured from the axis ?. What is the combined moment of inertia ? for the three point objects about the axis ? ?

Consider the objects labeled A, B, C, and D shown in the figure. A 米」 B C D Each object is composed of identical thin sticks of uniformly distributed mass 3.43 kg and length 0.303 m. What are the moments of inertia IA, IB, Ic, and Ip of the objects about a rotation axis perpendicular to the screen and passing through the black dot displayed on each object? IA = kg-m2 IB = %3D kg-m² Ic = kg-m? ID = kg-m?

An ice skater has a moment of inertia of 4.5 kgm2 when her arms are outstretched.  With her arms outstretched she is spinning 3.8 radians per second.  If she pulls her arms in and decreases her moment of inertia to 2.4 kgm2, how fast is she spinning?   A: 7.1 radians/second B: 2.8 radians/second C: 17.1 radians/second D: 6.2 radians/second E: 2.0 radians/second

In the following system m1=m2 and the bar's mass is << m1. If the axis of rotation were moved from that shown to the midpoint between the two weights, the Moment of Inertia of the system would: axis of rotation m2 2D Select one: O Remain unchanged Decrease Increase

2. In the thin plate shown below, the material has a mass per unit area of 20 kg/m² (that is, instead of thinking of this as a volume with a thickness, we're just focused on the 2D area of the shape). What is the moment of inertia of this plate around the pivot point, O? 50 mm 400 mm 150 mm 150 mm 400 mm

Three small steel balls are connected by rigid, very light rods as shown in the figure. What is the moment of inertia if the object rotates about the x-axis? If we apply a force of 200. N to the most massive ball such that the object will rotate counterclockwise about the x-axis, what angular acceleration will result?

A small block with mass 0.0450 kg slides in a vertical circle of radius 0.0710 m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.70 N Part A What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path?

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The massive pully has moment of inertia I = 1/2MR2. Calculate the downward acceleration of the hanging mass (as a positive number, in m/s²). %3D • M = 700 grams %3D • m = 70 grams • R = 9 cm M, R m