The 50-lb wheel shown in Fig. 17-21a has a radius of gyration kg = 0.70 ft. If a 35-lb-ft couple moment is applied to the wheel, determine the acceleration of its mass center G. The coefficients of static and kinetic friction between the wheel and the plane at A are μs = 0.3 and μ = 0.25, respectively. G 1.25 ft A (a) M = 35 lb-ft

A box with mass m = 2.75 kg rests on the top of a table. The coefficient of static friction between the box and the table is μs = 0.71 and the coefficient of kinetic friction is μk = 0.34. Write an expression for Fm the minimum force required to produce movement of the box on the top of the table. Solve numerically for the magnitude of the force Fm in Newtons. Write an expression for a, the box's acceleration, after it begins moving. (Assume the minimum force, Fm, continues to be applied.) Solve numerically for the acceleration, a in m/s2.

The 15.5-kg uniform bar is supported by a roller at A. A horizontal force of F = 80 N is applied to the roller. Neglect the weight and the size of the roller. (Figure 1) Figure y L. F = 80 N 2 m 1 of 1 Part A Determine the magnitude of the acceleration of the roller center at the instant the force is applied. Express your answer to three significant figures and include the appropriate units. aд = Submit Part B 0 = O μA Value Submit Request Answer Determine the direction of the acceleration of the roller center at the instant the force is applied, measured counterclockwise from the positive x axis. Express your answer using three significant figures. Units IVE ΑΣΦ 11 | vec Request Answer ? ? O

The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m.   (1) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 1 is___  (two decimal places)

The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μk = 0.2. Neglect the mass of the cord Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.

The spool has a mass of 150 kg and a radius of gyration of KG = = 0.3 m. (Figure 1) Figure 250 mm G A 400 mm P Part A If the coefficients of static and kinetic friction at A are μ = 0.2 and μk 0.15, respectively, determine the angular acceleration of the spool if P = 60 N. Solve this problem if the cord and force P are directed vertically upwards. Express your answer to three significant figures and include the appropriate units. απ P Submit μA Value Provide Feedback Request Answer Ć Units 11? - Next >

The 186-kg wheel has a radius of gyration about its center O of ko = 300 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 92 N.m, it starts rolling from rest. Determine the average friction force that the ground applies to the wheel if it has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². M Your Answer: units Answer

The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration ke=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's length at the state 2 is L2=4 m. (3) The stretched spring length of the spring at the state 1 is_ places) 2₂ State 2 7717 State 1 _(m) (two decimal

300 mm 3. The spool shown has a mass of 80 kg, a radius of gyration of kg of 200 mm, and outer inner radii of 300 mm and 150 mm, respectively. If a force P of 200 N is applied vertically to the cable shown, what is the 150 mm accleration of G? The coefficient of static and dynamic friction are 4. = 0.12 and fk = 0.08, respectively.