Chapter 12, Problem 143P

The speed of a car increases uniformly with time from 36 km/h at A to 110 km/h at B during 15 seconds. The radius of curvature of the hump at A is 35 m. If the magnitude of the total acceleration of the mass center of the car is the same at B as at A, compute the radius of curvature pg of the dip in the road at B. The mass center of the car is 0.71 m from the road. Assume PA = 35 m, h = 0.71 m. PB Answer: PB = i B m

The car is traveling at a constant speed through a dip in the road. The radius of curvature of the road at point A, the bottom of the dip, is 500 m. 500 m What speed R of the car, measured in km/h, would result in an acceleration of magnitude 0.2g when the car is at A?

The speed of a car increases uniformly with time from 48 km/h at A to 107 km/h at B during 13 seconds. The radius of curvature of the hump at A is 50 m. If the magnitude of the total acceleration of the mass center of the car is the same at B as at A, compute the radius of curvature pg of the dip in the road at B. The mass center of the car is 0.53 m from the road. Assume PA = 50 m, h = 0.53 m. Answer: PB = i BO PB m

Compute it, Thanks

Thex-and y-motions of guides A and Bwith right-angle slots control the curvilinear mation of the connecting pin P. which slides in bath slots. For a short interval, the motions are governed byx- 19+0.47 and y - 19 - 0.90P. wherexand y are in millimeters and tis in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-23s. Sketch the direction of the path and indicate its curvature for this instant. Calculate the x- and y-components of the acceleration. Answers: mm/s? 0.94 a,- -12.42 mm/s? Calculate the x- and y-components of the velocity. Answers: 2.162 mm/s Vy" -14.283 mm/s

Q2) The car travels along the circular curve having a radius r 400 m. At the instant shown, its angular rate of rotation is 0.025 rad/s, which is decreasing at the rate -0.008 rad/s2. Determine the radial and transverse components of the car's velocity and acceleration at this instant and sketch these components on the curve.

The particle P starts from rest at point A at time t = 0 and changes its speed thereafter at a constant rate of 2.9g as it follows the horizontal path shown. Determine the magnitude and direction of its total acceleration at timest= 0.78 s and t = 1.09 s. State your directions relative to the x-axis shown (CCW positive) and choose the angle with the smallest magnitude. A. P B -2.71 m- 3.99 m Answers: Att = 0.78 s, a= m/s?. e = i Att = 1.09 s, a = i m/s?, e = i

I 1. When the speed reached 100 km/h, the car entered a curved road of radius 150 m. The brakes are applied to slow down his motor uniformly to a speed of 40 km/h in 10 seconds along the curved road. Find the normal and tangential components of deceleration after the brakes are applied.

The hoisting system shown is used to easily raise kayaks for overhead storage. Determine the velocity and acceleration of the kayak (positive if upward, negative if downward) when y = 66 in. if the winch M reels in cable at the constant rate l˙ = 9 in./sec. Assume that the kayak remains level. The distance b = 56 in.