A thin cylindrical shell of M = 4.00 kg and radius R = 2.50 m is rolling down an inclide. If it is released from rest at the top of the incline of h=9.00m, what is the speed of the center of mass of the cylindrical shell at the bottom of the incline?

Two particles of mass 5 kg and10 kg respectively are attached to the two ends of a rigid rod of length Im with negligible mass. The center of mass of the system from the 5kg particle is nearly at a distance of:

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Determine the combined moment about O due to the weight of the mailbox and the cross member AB. The mailbox weighs 3.5 lb and the uniform cross member weighs 9.5 lb. Both weights act at the geometric centers of the respective items. The moment will be positive if counterclockwise, negative if clockwise. 1" 20" | 3″| 5", 7" 11" 3.9" A 36" Answer: Mo = IN -145.25 0 B lb-in.

A gymnast with a mass of 55 kg flipped in the air and achieved a maximum angular velocity of 445 degrees/sec just before landing from the flip. a) What is the magnitude of the angular impulse in kg*m2/s exerted by the floor on the gymnast when they stuck the landing and came to a complete stop, if they had a radius of gyration of 0.75 meters throughout the landing and their initial angular velocity just as they hit the floor was equal to the maximum angular velocity of 445 degrees/sec?

A uniform plate of height 0.740 m is cut in the form of a parabolic section. The lower boundary of the plate is defined by: y= 1.100x^2 . Find the distance from the rounded tip of the plate to the center of mass.                 Needs Complete typed solution with 100 % accuracy.

5,00 h A hollow sphere of mass 2.6 kg and radius 2 cm starts to roll (without slipping) down an incline of height 0.5 m. At the bottom of the incline, the sphere makes a head-on and perfectly inelastic collision with a box of mass 5.4 kg and the two objects slide together accross the ground. The coefficient of kinetic friction between the objects and the ground is 0.4. Determine the following quantities (take g = 9.81 m/s^2): (a) Kinetic energy of the sphere at the bottom of the incline (before collision) (in joules) (b) The speed of the system of two objects right after the collision (m/s) Hint: during the collision, model the two objects as point-like particles (c) The distance that the system of two objects travels from the bottom of the incline until they stop (m) (Give your answers as numbers (without any units or percentage...) with 3 significant figures. Use dot() for decimal point)

Answer the question in full details, thank you very much: A uniform, solid 2.5 kg cylinder can rotate about an axis through its center at O. The forces applied are : F1 =45N, F2 =4.3N, F3 = 5.5N,and F4 = 4.8 N. Also, R1 = 10. cmand R3 = 4.2cm. Find the magnitude (in rad/s^2) and direction (+ denotes counterclockwise and — denotes clockwise) of theangular acceleration of the cylinder.

The forces F1 = 99.6 N, F2 = 43.7 N, F3 = 84.2 N, F4 = 66.0 N, & F5 = 88.6 N, are acting at A, B, C, D & E respectively. Evaluate the moment about A, B, C & E for the forces shown in the figure. Take AB = 7.4 m, BC = 6.3 m, CD = 3.6 m, DE = 3.5 m.    a) Moment about A (Nm) = b) Moment about B (Nm) = c) Moment about C (Nm) = d) Moment about E (Nm) =

A 12-lb force P is applied to the control rod AB as shown. Knowing that the length of the rod is 5 in. and that a = 30°, determine the moment of the force about Point B by resolving the force into horizontal and vertical components in lb-in. Write the numerical value only and 2 decimal places. + for counterclockwise A fa 65° P B