18-43. A uniform ladder having a weight of 30 lb is released from rest when it is in the vertical position. If it is allowed to fall freely, determine the angle 0 at which the bottom end A starts to slide to the right of A. For the calculation, assume the ladder to be a slender rod and neglect friction at A. 10 ft
Q: 17-59 The uniform slender rod has a mass m. If it is released from rest when = 0, determine the…
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Q: *17-24. The door has a weight of 200 lb and a center of gravity at G. Determine how far the door…
A: Draw the FBD for a better understanding of the problem.
Q: 17-101. If the coefficient of static frietion at C is µ, = 0.3, determine the largest force F that…
A: Given data: *The coefficient of static friction at the point C is μs=0.3. *The mass of the ring is…
Q: Determine the initial angular acceleration of the 25-kg ladder and the initial reactions at A and B…
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Q: 17-81. Determine the angular acceleration of the 25-kg diving board and the horizontal and vertical…
A: Given data: The mass of the board is: m=25 kg The maximum deflection of the spring is: x=200 mm The…
Q: R17-8. Determine the backspin w which should be given to the 20-lb ball so that when its center is…
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Q: 17-105. If the coefficient of static friction between the 50-lb roller and the ground is u, = 0.25,…
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Q: This is a Dynamics question. Answers: theta = 46.9 deg
A: Drawing the free body diagram of the given system,
Q: *13-44. If the motor draws in the cable with an acceleration of 3 m/s?, determine the reactions at…
A: Draw the free body diagram of the pulley. Pulley and mass will move upwards with the half of the…
Q: 17-54. The crate C has a weight of 150 lb and rests on the truck elevator. Determine the initial…
A: Draw the free body diagram for the above diagram.
Q: 17-43. Determine the acceleration of the 150-lb cabinet and the normal reaction under the legs A and…
A: Weight of the cabinet (W) = 150 lb P = 35 lb the free body diagram of the cabinet is shown below…
Q: 17-35. The desk has a weight of 75 lb and a center of gravity at G. Determine its initial…
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Q: 14-73. The roller coaster car has a mass of 700 kg. including its passenger. If it is released from…
A: Find the minimum height of the hill and normal reaction at B and C.
Q: 13-15. The motor lifts the 50-kg crate with an acceleration of 6 m/s?. Determine the components of…
A: Let the tension in the rope be T the free body diagram of the crate is given below T - W = m*a T =…
Q: *17-44. The uniform bar of mass m is pin connected to the collar, which slides along the smooth…
A: Draw the FBD for the given problem. Let θ be the angle made by the rod and L be its length. Write…
Q: 17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it…
A:
Q: *17-108. The semicircular disk having a mass of 10 kg is rotating at w = 4 rad/s at the instant e =…
A: Draw the free body diagram of the disc: Calculate moment of inertia about the center of gravity:…
Q: 17-27. The sports car has a weight of 4500 lb and center of gravity at G. If it starts from rest it…
A: The given problem can be solved by using Kinetics principle such as D'Alemberts principle. The rear…
Q: Specifically a dynamics problem. Question in pic below.
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Q: 17-118. The 500-lb beam is supported at A and B when it is subjected to a force of 1000 lb as shown.…
A: Sketch the FBD for the above problem.
Q: 17-55. The 100-kg uniform crate C rests on the elevator floor where the coefficient of static…
A: Given data as per the question Mass of crate =100 kg coefficient of friction =0.40
Q: 21-54. The 10-kg disk turns around the shaft AB, while the shaft rotates about BC at a constant rate…
A: Given: The mass of the disk, m = 10 kg The speed of shaft BC about x-axis, ωx = 5 rad/s The length…
Q: *17-100. A force of F = 10 N is applied to the 10-kg ring as shown. If slipping does not occur,…
A: The free-body diagram pf the ring is drawn as shown in the bellow figure. mass moment of inertia is…
Q: 17-55. The 100-kg uniform crate C rests on the elevator floor where the coefficient of static…
A: Write the given data: m = 100 kgμs = 0.4r = 1.5 mW = mgW = (100 kg) (9.81 m/s2)W = 981 N
Q: Specifically a dynamics problem. Question in pic below.
A: Given data as per question Velocity of bullet = 400 m/s Mass of the block = 2 kg Mass of the bullet…
Q: 17-25. The door has a weight of 200 lb and a center of gravity at G. Determine the constant force F…
A: Given data S=12 ftt=5 sec
Q: *17-32. A force of P = 300 N is applied to the 60-kg cart. Determine the reactions at both the…
A: Free-body diagram of the above diagram is given as, Now, use the force equilibrium in the vertical…
Q: 15-3. The uniform beam has a weight of 5000 lb. Determine the average tension in each of the two…
A: Given Data: The weight of the beam is W=5000 lb. The initial velocity of the beam is u = 0. The…
Q: 17-99. The 12-kg uniform bar is supported by a roller at A. If a horizontal force of F = 80 N is…
A: Given; m=12kg, F=80N Required:-Acceleration of the center of the roller,QCG
Q: 18-21. A yo-yo has a weight of 0.3 Ib and a radius of gyration of ko = 0.06 ft. If it is released…
A: Given: The angular velocity,ω=70 rad/s The radius of gyration,k0=0.06 ft The weight of yo-yo,W=0.3…
Q: 17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it…
A:
Q: *17-36. The desk has a weight of 75 lb and a center of gravity at G. Determine the initial…
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Q: *17-52. The pipe has a mass of 800 kg and is being towed behind a truck. If the angle e = 30°,…
A: The representation of forces on the pipe is:
Q: 17-41. The smooth 180-lb pipe has a length of 20 ft and a negligible diameter. It is carried on a…
A: Given Length of the pipe=L=20ft W=weight of the pipe=180lb a=accerleration of truck=5ft/s2 Now…
Q: 17-118. The 500-lb beam is supported at A and B when it is subjected to a force of 1000 lb as shown.…
A: To Find : The beam's initial angular acceleration and the force of the roller support of the beam .…
Q: 0.5 m - P 1 m
A:
Q: This is a Dynamics question. Answer: FA = (3/2)*mg
A: Given data as per question Mass of rod = m considering free body diagram
Q: *17-24. 6 ft- The door has a weight of 200 Ib and a center of gravity at G. Determine how far the…
A:
Q: 18-66. The end A of the garage door AB travels along the horizontal track, and the end of member BC…
A:
Q: 17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it…
A: Given: m=1500 kg; μs=0.2; v=80 km/h To find: Time taken to reach v for the rear wheel and all-wheel…
Q: 18-19 The 30 kg disk is originally at rest, and spring is unstretched. A couple moment M= 80 Nm is…
A: The mass of the disk, m = 30 kg The couple moment acting on disk, M = 80 Nm The spring stiffness, k…
Q: This is a dynamics problem. Answers: F = 5.96 lb, NB = 99 lb, NA =…
A: Given data as per question Weight of door = 200 lb
Q: *15-8. The automobile has a weight of 2700 Ib and is traveling forward at 4 ft/s when it crashes…
A: Given data: Mass of automobile, w = 2700 lb Final Velocity, v2 = 4 ft/s Coefficient of kinetic…
Q: This is a dynamics problem. Answers: NA = 1393 lb, NB = 857 lb, t…
A: Given data as per question Weight of the car = 4500 lb Static coefficient of friction = 0.5 Kinetic…
Q: 17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it…
A:
Q: *17-32. A force of P = 300 N is applied to the 60-kg cart. Determine the reactions at both the…
A:
Q: 17-70. The 20-kg roll of paper has a radius of gyration kA = 90 mm about an axis passing through…
A:
Q: *17-40. The smooth 180-lb pipe has a length of 20 ft and a negligible diameter. It is carried on a…
A: For Normal reaction at point AWe have∑MB=∑M -W×10×1213+NA×13=-max×10×513…
Q: 17-70. The 100-lb uniform rod is at rest in a vertical position when the cord attached to it at B is…
A: We have to determine Rod's angular acceleration
Q: This is a dynamics problem. Answers: F = 60.88 lb, aG = 13.6 ft/s2,…
A: Drawing free body diagram for the desk.
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- The system consists of the two smooth spheres, each weighing 3 lb and connected by a light spring, and the two bars of negligible weight hinged freely at their ends and hanging in the vertical plane. The spheres are confined to slide in the smooth horizontal guide. If a horizontal force F = 10 lb is applied to the one bar at the position shown, what is the accelera- tion of the center C of the spring? Why does the re- sult not depend on the dimension b?The uniform 20-lb ladder rests on the rough floor forwhich the coefficient of static friction is s = 0.45 andagainst the smooth wall at B. Determine the horizontalforce P the man must exert on the ladder in order tocause it to move.Determine the distance s to which the 90-kg painter can climb without causing the 4 m ladder to slip at its lower end A. The top of the 15-kg ladder has a small roller, and at the ground the coefficient of static friction is 0.25. The mass center of the painter is directly above her feet.
- 3. The uniform 20-lb ladder rests on the rough floor forwhich the coefficient of static friction is s = 0.45 andagainst the smooth wall at B. Determine the horizontalforce P the man must exert on the ladder in order tocause it to move. 4. The 5000-N concrete block is adjusted its positionusing a 5° wedge under the action of force F. If thecoefficient of static friction between all contacts is0.3, determine the least force F required to movethe block.The 66-kg man with center of mass G supports the 33-kg drum as shown. Find the greatest distancex at which the man can position himself without slipping if the coefficient of static friction between his shoes and the ground is 0.45. 5.6 m 33 kg 66 kg 0.9 m Answer:x = i EDetermine the smallest force the man must exerton the rope in order to move the 80-kg crate Also,what is the angle θ at this moment? Thecoefficient of static friction between the crate andthe floor is μs = 0.3.
- F4-20. If the coefficient of static friction at all contacting surfaces is , determine the inclination e at which the identical blocks, each of weight W, begin to slide.The uniform 20-lb ladder rests on the rough floor forwhich the coefficient of static friction is s = 0.45 andagainst the smooth wall at B. Determine the horizontalforce P the man must exert on the ladder in order tocause it to move.P =The 5000-N concrete block is adjusted its positionusing a 5° wedge under the action of force F. If thecoefficient of static friction between all contacts is0.3, determine the least force F required to movethe block.F =The 3600-lb car with rear Wheel drive is attempting to tow the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide.
- The body A with a mass of 50 kg is in equilibrium with the help of the pulling force generated in the AB and AC cables in the middle of the inclined plane and the friction force between the curved surface and the object. The friction force is on the line of motion of body A and develops in the opposite direction to the movement in the direction of the arrow shown in the drawing. Since the pulling force in AB and AC cables is 15.1 and 22.1 N, respectively, calculate the balancer friction force acting on the object vectorially? (g = 9.81 m / s'2)The 43-kg man with center of mass G supports the 31-kg drum as shown. Find the greatest distance x at which the man can position himself without slipping if the coefficient of static friction between his shoes and the ground is 0.57. 4.5 m 31 kg 43 kg 1.2 m Answer:x = i mDetermine the steady-state angle a if the constant force P = 195 N is applied to the cart of mass M = 16 kg. The cart travels on the slope of angle 0 = 25° The pendulum bob has mass m = 4 kg and the rigid bar of length L = 1.1 m has negligible mass. Ignore all friction. P M L m