Chapter 13, Problem 85P

The constant tensions of 200N and 160 N are ap- Q2 plied to the hoisting cable as shown. If the velocity v of the load is 2 m/s down and the angular velocity w of the pulley is 8 rad/s counterclockwise at time t = 0, determine v and w after the cable tensions have been applied for 5 s. Note the independence of the results. 200 N 160 N 300 mm 15 kg k = 250 mm 20 kg

2/135 As the hydraulic cylinder rotates around O, the ex- posed length 1 of the piston rod P is controlled by the action of oil pressure in the cylinder. If the cyl- inder rotates at the constant rate 0 = 60 deg/s and 1 is decreasing at the constant rate of 150 mm/s, calculate the magnitudes of the velocity v and ac- celeration a of end B when 1 = 125 mm. Ans. U = 545 mm/s, a = 632 mm/s² 375 mm 0 Problem 2/135 B

The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos 0+0.3) m. Plac41 Figure ▼ Part A If the forked rod is rotating with a constant angular velocity of A = 4 rad/s, determine the force the cam and the rod exert on the 1.8-kg roller when 0 = 30°. The attached spring has a stiffnesss k= 30 N/m and an unstretched length of 0.1 m. Express your answers in newtons using three significant figures separated by a comma. Neam, Frod = ΑΣΦ Submit Request Answer vec ? 1 of 1 N

Assuming there is no slippage for the belt assembly below, Determine the following: What is the average angular velocity of each pulley if the rope accelerates from 5 m/s to 10 m/s in 10 s? How many revolutions does the pulley turn in that time? R1 = 0.3 m R2 = 0.2 m R3 = 0.1 m

The spring-mounted 0.89-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate θ˙=8.2θ˙=8.2 rad/s. At a certain instant, r is increasing at the rate of 700 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.63, calculate the friction force F exerted by the rod on the collar at this instant.

If the 100-kg mass has a downward velocity of 0.5 m/s as it passes through its equilibrium position, calculate the magnitude amax of its maximum acceleration. Each of the two springs has a stiffness k = 180 kN/m. Ans. amax = 30 m/s2 %3D k k 100 kg

The spring-mounted 0.62-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate ở = 6.3 rad/s. At a certain instant, ris increasing at the rate of 630 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.46, calculate the friction force F exerted by the rod on the collar at this instant. Vertical Answer: F = i N

The constant tensions of 200 N and 160 N are applied to the hoisting cable as shown. If the velocity v of the load is 2 m∕s down and the angular velocity ? of the pulley is 8 rad∕s counterclockwise at time t = 0, determine v and ? after the cable tensions have been applied for 1.5 s. Note the independence of the results.

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