PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The boy of mass 46 kg is sliding down the spiral slide at a
constant speed such that his position, measured from the
top of the chute, has components r = 1.5 m,
0 = (0.7t) rad, and z = (-0.5t) m, where t is in
seconds. Neglect the size of the boy.
Part A
Determine the r, 0, z components of force F which the
slide exerts on him at the instant t = 2 s using scalar
notation.
Fr,
Express your answers in newtons to three significant
figures separated by commas.
Fe,
F
=
195| ΑΣΦΑ
Z
vec
r = 1.5 m
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The slider of mass m is released from rest in position A and slides without friction along the vertical‐plane guide shown. Determine the height h such that the normal force exerted by the guide on the slider is zero as the slider passes point C. For this value of h, determine the normal force as the slider passes point B.
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- The 50-kg package at Point A is rolling on a smooth ramp, where the ramp has two circular arcs AB and CD. Section BC is a straight path, and the radius of CD is r = 25 m. The heights of the ramp at g and b are given as a = 15 m and b = 30 m. At point 4, the package is initially at rest and then rolls freely along the ramp until it reaches point D and lands onto a cart. The air resistance and rolling resistance are ignored. a. Determine the datum line and draw Free Body Diagram (FBD) at point B, C, and D. b. Using the principle of conservation of energy, determine the normal component of acceleration at point B. c. Determine the normal force exerted by the ramp on the package at point B.arrow_forwardThe 12-lb box slides on the surface for which pux=0.3. The box has a velocity u = 15 ft/ s when it is 2 ft from the plate. (Figure 1) If the box strikes the smooth plate, which has a weight of 25 lb and is held in position by an unstretched spring of stiffness & = 360 lb / ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. Express your answer using three significant figures and include the appropriate units. x=? v = 15 ft /s k 2 ftarrow_forwardThe 940-kg motorized unit A is designed to raise and lower the 445-kg bucket B of concrete. Determine the average force R which supports unit A during the 6.0 seconds required to slow the descent of the bucket from 3.1 m/s to 0.7 m/s. Analyze the entire system as a unit without finding the tension in the cable.arrow_forward
- The 1.2-kg small collar is released from rest in position A and slides up the smooth fixed rod inclined 51° from the horizontal under the action of a constant vertical force P. The spring has a stiffness of 165 N/m. If d =3.3 m and the maximum deflection of the spring is 0.5 m, determine the magnitude of the force P. Give your answer in N. PA Aarrow_forwardThe 950-kg motorized unit A is designed to raise and lower the 450-kg bucket B of concrete. Determine the average force R which supports unit A during the 6.7 seconds required to slow the descent of the bucket from 4.3 m/s to 0.8 m/s. Analyze the entire system as a unit without finding the tension in the cable. A B Answer: R = i kNarrow_forwardThe boy of mass 45 kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r = 1.5 m, 0 = (0.7t) rad, and z = = (−0.5t) m, where t is in seconds. Neglect the size of the boy. (Figure 1) Figure Part A Fr, Fe, F₂ = Determine the r, 0, z components of force F which the slide exerts on him at the instant t = 2 s using scalar notation. Express your answers using three significant figures separated by commas. Submit VΞΙ ΑΣΦ | 11 Request Answer r = 1.5 m vec ? 1 of 1 Narrow_forward
- Part A The 12-lb box slides on the surface for which u = 0.3. The box has a velocity v = 15 ft /s when it is 2 ft from the plate. (Figure 1) If the box strikes the smooth plate, which has a weight of 19 lb and is held in position by an unstretched spring of stiffness k = 330 lb / ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. Express your answer using three significant figures and include the appropriate units. HA ? Value Units Submit Request Answer Figure < 1 of 1 < Return to Assignment Provide Feedback v = 15 ft/s 2 ftarrow_forwardThe rod of the fixed hydraulic cylinder is moving to the left with a speed of 94 mm/s and this speed is momentarily increasing at a rate of 440 mm/s each second at the instant when SA = 355 mm. Determine the tension in the cord at that instant. The mass of slider Bis 0.77 kg, the length of the cord is 950 mm, and the effects of the radius and friction of the small pulley at A are negligible. Find results for cases (a) negligible friction at slider B and (b) p = 0.42 at slider B. The action is in a vertical plane. 220 mm Answers: 0.77 kg B (a) Negligible friction: T= i (b) Uk=0.42: T= i N Narrow_forwardFastyy plsarrow_forward
- 3. The 60-lb boy swings down as shown in Fig. below. If he starts from rest when 0 = 0°, determine the rate of change in his speed and the tension on each of the two cords of the swing when 0 = 60°. Neglect his size and the mass of seat and cords for the calculation. His speed is actually the speed of boy's center of mass G.arrow_forwardThe 925-kg motorized unit A is designed to raise and lower the 615-kg bucket B of concrete. Determine the average force R which supports unit A during the 5.9 seconds required to slow the descent of the bucket from 4.6 m/s to 0.9 m/s. Analyze the entire system as a unit without finding the tension in the cable. Answer: R = i kNarrow_forward3. The smooth 160-lb pipe has a length of 20 ft and a negligible diameter. It is carried on a truck as shown. Determine the maximum acceleration which the truck can have without causing the normal reaction at A to be zero (i.e. lifting the pipe). Also determine the horizontal and vertical components of force which the truck exerts on the pipe at B at that acceleration. 20 ft 5 ft B 12 ftarrow_forward
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