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.

There is a pirate ship in the harbor which features a large, cast iron wheel that is used to steer the ship. As shown in the figure above, this wheel features spokes with a length of R = 0.83 meters, configured as shown. Star symbols indicate specific points on the wheel (labelled A, B, C, D, and E). The moment of inertia of this wheel is I = 12.2 kg⋅m2.The wheel spins around a gear mechanism attached at its center. The gear mechanism has sufficient resistance (due to friction and other factors) that anyone trying to turn the wheel feels a counter-torque of τres = 10 N⋅m. After the wheel begins moving, a constant resisting torque of τres = 10 N⋅m is still felt. Someone applies a a tourque of 33.7N*mvto the wheel for five seconds, if the wheel starts at rest what is it anuglar momentum after five seconds? If the wheel is now spinning at 1 rad/sec what is the magnitude of the tourque to keep it spinning? What is the total kinetic magnitude of the wheel ( the mass is 4kg)

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 can you answer with working out and label each part

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.

5kg plate, and 3 kg slender rod. FIND, the radius of gyration of the pendulum about an axis perpendicular to the screen and passing through the point G.

A clutch was balanced by having four masses placed on the clutch cover at the same radius. Three of the masses are 40 g, 50 g, and 25 g respectively, and their angular positions from the vertical, in a clockwise direction, are 00, 1200 and 2100 respectively. Assuming that radial force is proportional to the mass, find, by applying the polygon of forces rule, the magnitude and position of the fourth mass. Use scale of 10 mm = 5 g.

Turning moment 1mm = 60 Nm: crank angle, 1 mm = 1° . The turning moment shows the maximum energy that needs to be stored by the flywheel in the unit area is 2850 m² . The flywheel rotates at an average speed of 220 rpm with a total speed change of 2.5%. If the mass of the flywheel is 500 kg, find the appropriate dimensions (inner diameter, outer diameter and thickness) of the flywheel. Given that inner diameter of the flywheel is 0.9 outer diameter and the density is 7.2 Mg/m³ .

Two masses, having mass moments of inertia J1 and J2, are placed on rotating rigid shafts that are connected by gears, as shown in the figure. If the numbers of teeth on gears 1 and 2 are n1 and n2, respectively, find the equivalent mass moment of inertia corresponding to θ1.