The pendulum consists of a plate having a weight of 12 lb and a slender rod having a weight of 4 lb. (Figure 1) Figure Part A 1 ft 3 ft 2 ft- 1 of 1 Determine the radius of gyration of the pendulum about an axis perpendicular to the page and passing through point O. Express your answer to three significant figures and include the appropriate units.

Find the moments of inertia in kg-m2 of the pendulum shown in the figure below about the z-axis. The x and y axes are in the plane of the pendulum. Ris a slender rod of 1.0 kg, and D is a semicircular disk of 2.0 kg. L = 1.1 m and r = 0.25 m. R L D Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.

Determine equivalent inertia and equivalent stiffness of the system shown in Figure. Mass of the bar is M. Use rotation of the bar (0) as the generalized coordinate. L L/4 2m k₁ m 2k

The mass of the gear is 48 kg and it has a radius of gyration of ko = 125 mm. The mass of the gear rack is 22 kg. Assume that the contact surface between the gear rack and the horizontal plane is smooth. (Figure 1) Figure 150 mm- 75 mm vira 1 of 1 P = 150 N Part A If the cord is subjected to a horizontal force of P = 150 N, and gear is supported by a fixed pin at O, determine the angular velocity of the gear in 1 s, starting from rest. Express your answer to three significant figures and include the appropriate units. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. Submit Part B V = μÀ Value Submit Request Answer Provide Feedback Determine the velocity of the gear rack in 1 s, starting from rest. Express your answer to three significant figures and include the appropriate units. Enter positive value if the velocity is rightward and negative value if the velocity is leftward. Value μA Units Request Answer www…

Please write out the problem on paper and provide all steps and units.

The material has a specific weight y = 70 lb/ft². (Figure 1) Figure 0.5 ft 0.25 ft/ 2 ft 1 ft 0.25 ft 1 of 1 Part A Determine the moment of inertia of the wheel about an axis which is perpendicular to the page and passes through point O. Express your answer to three significant figures and include the appropriate units. Io = Submit LO Value Request Answer Units < Return to Assignment Provide Feedback ?

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Consider the assembly shown in (Figure 1). Suppose that a = 1.3 ft , b = 0.4 ft , r= 1 ft , and d = 0.15 ft . The material has a specific weight of γ = 90 lb/ft3 Determine the moment of inertia of the assembly about an axis that is perpendicular to the page and passes through point O.

4. Please explain the answer.

Example 3-3: Parallel-Axis theorem and composite bodies A clock pendulum consists of a slender rod and a circular disc with a hole in it as shown. The rod 20 cm has a density of 7000 kg/m3 and cross sectional area of 50 mm2 he disc has a density of 8000 kg/m3 and a thickness of 5 mm. 5 ст 10 ст Compute the moment of inertia of the pendulum about O.