The block of weight 8 Ib is released from rest at. and slides down the smooth circular surface AB. It then continues to slide along the horizontal rough surface until it strikes the spring. Determine how far (ft) it compresses the spring before stopping. (uk = 0.2, a = 4 ft ,0 = 90 deg, b = 2 ft, k = 40 lb/ ft)

Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary is now in the box, but has not started to move. a. What is the gravitational force acting on the box and child system?b. What is the magnitude of the normal force acting on the box?c. What is the reaction force associated with the normal force found in the previous step.

Given: The 6-kg collar is attached to a spring that has an unstretched length of 2m and a stiffness K=9.3 N/m. If the collar is drawn to point B and released from rest as shown. 3 m A 4 m Please fill in the blank your answer with two decimal places (for example 123.45). Do not add the units in the blank A) The work done by the spring when the collar reaches point A UB-A. Joule= 44.85 B) The work done by the weight of the collar when it reaches point A, Ug(8-A), Joule= C) The velocity of the collar when it arrives at point A. v, m/s=

The 214-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 94 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: Answer units

When the 1.8-kg block is in the position shown, the attached springis undeformed. If the block is released from rest in this position, determine itsvelocity when it hits the floor.

Please solve using polar coordinates. The answer is 1.02 lb but I can't figure out how to get there. only HANDWRITTEN answer needed ( NOT TYPED)

The small block B is attached to the vertex A of the right circular cone using a light cord. The cone is rotating at a constant angular velocity about the vertical z-axis such that the block attains a speed of 0.6 m/sec. If the mass of the block is 0.3 kg, determine the tension in the cord by neglecting friction and the size of the block. Present your answer in Newtons using 3 significant figures. 200 mm B 300 mm A 400 mm

The uniform 45 kg slender rod is at rest in the position shown when P = 525 N is applied. What is the total work done U1-2 when the rod goes to vertical position? Take L1 = 3.75 m and L2 = | 4.75 m. L2 L1 B

Under the man's pushing force P = 37.3 lb, the uniform cabinet is sliding on the ground with a constant acceleration of a. If the uniform cabinet has weight of 150 lb, and the coefficient of kinetic friction between the cabinet and the ground is uk = 0.14, determine the normal force reaction under leg A. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. Take g = 32.2 ft/s2. -1 ft→+–1 ft-→| P 4 ft 3.5 ft A В Your Answer: Answer units

Rod OA rotates counterclockwise with an angular position - 2t rad, where t is in seconds. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular hoop rod described by the equation r = 1.6cose m. If the total mass of both collars is 0.5 kg and of the rod and hoop are negligible, when = 30° which takes t = ()(180) sec, determine the circumferential acceleration of the collars, ag. [m/s2] (sign sensitive) 6=ki 16 cos 8.