Chapter 14, Problem 14P

Using a forked rod, a smooth cylinder P, having a mass of 0.4 kg, is forced to move along the vertical slotted path r- (0.60) m, where e is in radians. If the cylinder has a constant speed of te- 2 m/s, determine the force of the rod and the normal force of the slot on the cylinder at the instant e- rad. Assume the cylinder is in contact with only one edge of the rod and slot at any instant. Hint To obtain the time derivatives necessary to compute the cylinder's acceleration components a, and a, take the first and second time derivatives of r- 0.60. Then, for further information, use Eq. 12-26 to determine 8. Also, take the time derivative of Eq. 12-26, noting that te - 0, to determine 8. -060

A 40 kg boy is sliding down the smooth spiral such that z= -2 m/s and his initial speed is 2 m/s. Determine ther, 0, z components of force the slide exerts on him at this instant. =1.5 m

400 mm The spring attached to the mass of m = 0. 5 kg sliding collar has a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the speed of the collar in position A is 4 m/s to the right, determine the total energy and the speed of the collar in position B, Neglecet 100 mm friction. 200

The 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' D

2. The block (A) has a mass of 10 kg and the coefficient of dynamic friction between the block and the ground is μ = 0.3. Block B has a mass of 15 kg and slides down a frictionless pole. If the blocks start from at x=0 calculate: a. The distance block A moves after block B has fallen 4 m b. The relationship between the speed of A and the speed of B c. The work done by friction on block A d. The velocity of block B. B 2m A

Find the acceleration of the blocks and the tension in the chord if both have a mass equal to 100 kg. The two blocks rest on inclined surfaces at 30 degrees and 60 degrees respectively. Assume μ = 0.20.

8) A block weighing 50-kg is being pulled up the incline as shown below. The coefficient of kinetic friction between the block and the surface of the incline is 0.4. If the block is initially moving up the plane at 2m/s and at this instant (t = 0) the motor develops a tension in the cord of T = (300 + 120vt) Newtons, where t is time in seconds. Determine the velocity of the block at t = 2s. Motor V=2 m/s 30

The 8-kg collar has a velocity of 8 m/s to the right when it is at A. It then travels down along the smooth guide as shown in (Figure 1). The spring has an unstretched length of 100 mm and B is located just before the end of the curved portion of the rod. Figure 200 mm www. 200 mm k = 50 N/m 1 of 1 ▶ Part A Part B What is the normal force on the collar at this instant? Express your answer to three significant figures and include the appropriate units. N = Submit μA Value Provide Feedback Request Answer Pearson Units ? Review Next >

Please include all the details and don't skip the steps.