Chapter 15, Problem 32P

= The 2-kg pendulum bob moves in the vertical plane with a velocity of 10 m/s when 0 30°. Determine the initial tension in the cord and also at the instant the bob reaches u 60°. Neglect the size of the bob. (Use principle of work and energy to calculate Ve=60°). 4 2 m =

The 396-kg mine car is hoisted up the incline using the cable and motor M. For a short time, the force in the cable is F-13311 t^21 N, where t is in seconds. If the car has an initial velocity v 1-2 m/s when t 0, determine determine its velocity when t -3.8 s. Express your answer to three significant figures. v₁ = 2 m/s Don't use chatgpt.

The initially stationary 100-lb block is subjected to the time-varying force whose magnitude P is shown in the plot. Determine the speed v of the block at times t = 1, 3, 5, and 7 sec. Note that the force P is zero after t= 6 sec.

The 50 kg block is resting on a surface for which the coefficient of kinetic friction is k = 0.2. A spring is attached to the block and the spring is originally at its neutral position. A force F = (500s +500) N, where s is in m, is exerted to a block as shown. Determine the speed of the block at s = 1 m. k = 50 N/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

. The 2.5-Mg four-wheel-drive SUV tows the 1.5-Mg trailer. The traction force developed at the wheels is FD = 9 kN. Determine the speed of the truck in 20 s, starting from rest. Also, determine the tension developed in the coupling, A, between the SUV and the trailer. Neglect the mass of the wheel

The 56.28 kg crate is hoisted up the 0 = 27° incline by the pulley system and motor M. If the crate starts from rest and, by constant acceleration, attains a speed of 8.17 m/s after traveling 7.84 m along the plane, determine the supplied power to the motor if the crate has moved 8 m and the coefficient of kinetic friction between the plane and the crate is Hk = 0.3. Neglect friction along the plane. The motor has an efficiency of 0.691. M

The conveyor belt delivers each 12-kg crate to the ramp at A such that the crate’s speed is vA = 2.5 m>s,directed down along the ramp. If the coefficient of kinetic friction between each crate and the ramp is mk = 0.3,determine the smallest incline u of the ramp so that the crates will slide off and fall into the cart