to the diagram below. The mass of each sphere is 4 kg. The mass of the bar is 3 kg. The bar has a uniform density of The system is fixed and can rotate about sphere B. a) Derive an equation for the rotational inertia of the rod. b) Calculate the angular acceleration of the system. (3/5)L (2/5)L A B
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- A disk at rest experiences a constant angular acceleration for t = 35 s, at the end of which it is spinning with a frequency of f = 35 rpm. Please answer the following questions. 1) Write an expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency. ω = 2) Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 35 s. ω = 3) Write an expression for the average angular acceleration of the disk αave in terms of angular velocity. αave =Question 9 of 10 In Rotational Experiment, a student drew the relation between the moment of inertia of the system I and the square distance R. The value of the moment of inertia of the rod od and the mass ms: OL-200kg.m², m=0.2kg OL=0.02kg.m², m=200g OL=0.02kg.m², m=100kg OL=0.02kg.m², m=100g OL=100kg.m², m=0.2kg G 0.12 0.1 0.08 1(kg.m²) 0.06 0.04 0.02 0 0 0.05 0.1 0.15 0.2 0.25 R²(m²) 03 0.35 04 0.45The uniform solid block in the figure has mass 38.6 kg and edge lengths a = 0.543 m, b = 1.75 m, and c = 0.118 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number i Units
- Consider a phonograph with a diameter of 0.6 m and a rotational speed of 33 RPM. Answer the following questions. What is its radius in m?What is its rotational speed in rad/s?What is the tangential speed on the phonograph's outer edge in m/s?What is the tangential speed at the center of the phonograph in m/s?What is the tangential speed halfway out to the edge of the phonograph?TWo metal disks,one with radius R, = 2.50 cm and mass M, = 0.90 kg and the Other with radius Rz =5.00 cm and mass M2= 2.00 kg , are welded together and mounted on frictionless axis through their common center. A.) What is the total moment of inertia of the two disks. B.)A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.00 m above the floor, what is its speed just before it Strikes the floor. R2 1.50 kgA disk at rest experiences a constant angular acceleration for t = 35 s, at the end of which it is spinning with a frequency of f = 35 rpm. Please answer the following questions. 1) Write an expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency. ω = 2) Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 35 s. ω = 3) Write an expression for the average angular acceleration of the disk αave in terms of angular velocity. αave =