Chapter 14, Problem 38P

The 10-lb block rests on a surface for which MUK - 0.5, it is acted upon by a radial force of 2 lb and a horizontal force of 7 lb, always directed at 30° from the tangent to the path as shown. If the block is initially moving in a circular path with a speed V₁ - 2 ft/s at the instant the forces are applied, determine the time required before the tension in cord AB becomes 20 lb. Neglect the size of the block for the calculation. O 4.31 s O 3.52 s O 3.41 s O 5.23 s 7th 40 21th

The pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as the aircraft is standing on the runway. The jet thrust remains constant, and the aircraft has a near-constant acceleration of 0.31g. If the takeoff speed is 225 km/h, calculate the distance s and time t from rest to takeoff.

The horizontal force P = 40-10t N (t is the time measured in seconds) is applied to the 2- kg collar that slides along the inclined rod. 2 kg- -P = (40– 10r)N At time t = 0, the position coordinate of the collar is x = 0, and its velocity is vo = 3 m/s directed down the rod. Find the time T and the speed Sof the collar when it returns to the position x = 0 for the first time. Neglect friction.

The collar is given a speed v₁ = 5 m/s to the left at position A. What is its speed at B? The guide is smooth so that the collar is not subject to any friction. The unstretched length of the spring is R = 1.2 m and the spring constant is k = 500 N/m. (15 points).

It takes 35 seconds for the 50-Mg tugboat to increase its speed uniformly to 25km/h, starting from rest. The barge has a mass of 75 Mg. The propeller provides the propulsionforce F which gives the tugboat forward motion, whereas the barge moves freely. Determine Facting on the tugboat.

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Design of the ski jump requires knowing the type of forces that will be exerted on the skier and her approximate trajectory. If in this case the jump can be approximated by the parabola as shown, determine the normal force on the 100 kg skier the instant she arrives at the end of the jump, point A, where her velocity is 65 m/s. also what is her acceleration at this point? 200 The Solution 200 m

If the 40 kg skier passes point A with a speed of 2 m/s, determine his speed when he reaches point B. Also find the normal force exerted on him by the slope at this point. Neglect friction.

The 150-lb car of an amusement partk ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial for F along the boom. Neglect the size of the car and the mass of the boom.