14-2. For protection, the barrel barrier is placed in front of the bridge pier. If the relation between the force and deflection of the barrier is F= (90(103)x1/2) lb, where x is in ft, determine the car's maximum penetration in the barrier. The car has a weight of 4000 lb and it is traveling with a speed of 75 ft/s just before it hits the barrier. F (lb) F = 90(10)x/2 x (ft)

Q: An automobile of mass 1000 kg is driven down a 5o incline at a speed of 72 km/h when the brakes are…

A: Newton's second law of motion describes the term "Force". It says that the rate of change in…

Q: 15-137. If the chain is lowered at a constant speed v = 4 ft/s, determine the normal reaction…

A: Given Data: The length of the chain is L= 20 ft. The weight per unit length of the chain is ρ = 5…

Q: Q1: If m=2 kg is released from A and slides down the inclined fixed rod in the vertical plane, u =…

A:

Q: 14-81. When s = 0, the spring on the firing mechanism is unstretched. If the arm is pulled back such…

A: Find the maximum angle.

Q: 14-25. The 5-lb cylinder is falling from A with a speed VA = 10 ft/s onto the platform. Determine…

A: Given Data: The weight of the cylinder falling is W = 5 lb. The speed of the cylinder is vA = 10…

Q: 13-57. The collar A, having a mass of 0.75 kg, is attached to a spring having a stiffness of k = 200…

A: The mass of the collar is m=0.75 kg. The stiffness of the spring k=200 N/m. Determine the constant…

Q: Q1: If m=2 kg is released from A and slides down the inclined fixed rod in the vertical plane, u =…

A:

Q: *13-84. The 2-lb block is released from rest at A and slides down along the smooth cylindrical…

A: Consider Fs as the spring force, m as the mass of the block, at to be the tangential acceleration…

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: 15-1. Determine the impulse of the force for t=2 s. k = 10 N/m -www 80 N

A: Given: The force acting on the block is F=800 N The spring constant of the spring is k=100 N/m The…

Q: R14-6. The 50-lb load is hoisted by the pulley system and motor M. If the motor exerts a constant…

A: Given Load = 50 lb Motor force = 30 lb Distance of lift = 10 ft Motor efficiency = 0.76 To find…

Q: 13-89. The boy of mass 40 kg is sliding down the spiral slide at a constant speed such that his…

A: Consider the mass of the child to be m. Draw the free-body diagram of the boy.

Q: 14-3. The crate, which has a mass of 100 kg, is subjected to the action of the two forces. If it is…

A: As per given question The crate, which has a mass of 100 kg, is subjected to the action of the two…

Q: A block initially at rest at the top slides down along the smooth cylindrical surface. If the…

A: Find the unstretched length of the spring.

Q: The 50-lb load is hoisted by the pulley system and motor M. If the motor exerts a constant force of…

A:

Q: 14-79. A 2-lb block rests on the smooth semicylindrical surface at A. An elastic cord having a…

A: Given data as per question Weight of the block = 2 lb Stiffness = 2 lb/ft Angle = 450

Q: The man stands a distance d from the wall and throws a ball at it with a speed vo. Determine the…

A: Given: Initial velocity V0=15m/sh1=1.5mh2=6mg=9.81m/s2d=18m

Q: *15–124. The boat has a mass of 180 kg and is traveling forward on a river with a constant velocity…

A: Given that, Mass of the boat, m=180 kg,Velocity of boat, vb=70 kmhVelcoity of river, vr=5 kmhMass…

Q: P14-2. Determine the kinetic energy of the 10-kg block. 2 m/s 30° (a) 6 m/s 60 (b)

A: Given Data: The mass of the block is M = 10 kg. Part (a) The velocity of the block is V = 2 m/s.…

Q: R14-6. The 50-lb load is hoisted by the pulley system and motor M. If the motor exerts a constant…

A:

Q: Question in pic below. Specifically a dynamics problem.

A: Consider the escalator steps. The height of the steps is 125 mm and the length is 250 mm. Thus,…

Q: R14–6. The 50-lb load is hoisted by the pulley system and motor M. If the motor exerts a constant…

A:

Q: F14-1. The spring is placed between the wall and the 10-kg block. If the block is subjected to a…

A: Force, F= 500 N Stiffness of the spring, k= 500 N/m Initial displacement, s1= 0 m Final…

Q: 14-25. The 5-lb cylinder is falling from A with a speed vA = 10 ft/s onto the platform. Determine…

A:

Q: 14-87. The block has a mass of 20 kg and is released from rest when s = 0.5 m. If the mass of the…

A: Given: kA=500 N/mkB=800 N/ms=0.5 m Spring force in A and B is given as…

Q: F15-7. The freight cars A and B have a mass of 20 Mg and 15 Mg, respectively. Determine the velocity…

A: Given data mA=20 Mg=20000 kgmB=15 Mg=15000 kgVA=-3 m/secVB=+1.5 m/secVBf=-2 m/sec

Q: If the motor exerts a force of F = (600 + 2s2)N on the cable, determine the speed of the 100-kg…

A:

Q: Ql: If m=2 kg is released from A and slides down the inclined fixed rod in the vertical plane, p…

A:

Q: Q.1) A 50 kg block is dropped from a height of 2 m onto the the 20 kg pan of a spring scale.…

A: Given data: The mass of block is M = 50 kg. The height from which the block is dropped is h = 2 m.…

Q: R14-6. The 50-lb load is hoisted by the pulley system and motor M. If the motor exerts a constant…

A: Load, W= 50 lb Constant force on the cable, T= 30 lb s= 10 ft starting from the rest (Given that the…

Q: 14-55. The elevator E and its freight have a total mass of 400 kg. Hoisting is provided by the motor…

A: Given Data: Total mass is M = 400 kg.  Mass of block C is mc = 60 kg. Efficiency of motor is η =…

Q: Q1: The rubber mallet is used to drive a cylindrical plug into the wood member. If the impact force…

A: From the newtons second law of motion, Here, impulse is

Q: 14-41. A 2-lb block rests on the smooth semicylindrical surface. An elastic cord having a stiffness…

A:

Q: 2. The ball is dropped from rest and falls a distance of 1.2 m before striking the smooth plane at…

A:

Q: 13-82. The 8-kg sack slides down the smooth ramp. If it has a speed of 1.5 m/s when y = 0.2 m,…

A: When y = 0.2 m, at this position the distance on the x-axis can be calculated as follows

Q: 14-34. The spring bumper is used to arrest the motion of the 4-lb block, which is sliding toward it…

A: Given Data: The weight of the block is w = 4 lb. The velocity of the block is v = 9 ft/s. The…

Q: Question in pic below. Specifically a dynamics problem.

A: Consider the weight of the crate as W, and the two forces acting be F1 and F2. Draw the free body…

Q: y y- 4.5 - h ft k lblft B I ft The 8-lb collar has a speed of 9 ft. s at A. The attached spring has…

A:

Q: 14-97. A pan of negligible mass is attached to two identical springs of stiffness k = 250 N/m. If a…

A: Given data k=250 N/mm=10 kgT=50 N

Q: The automobile has a weight of 1000 kg and crashes into the wall. If the impact occurs in 0.05 s,…

A: Impulse is given as F*dt

Q: Q1: If m=2 kg is released from A and slides down the inclined fixed rod in the vertical plane, u =…

A:

Q: Ql: If m=2 kg is released from A and slides down the inclined fixed rod in the vertical plane, µ =…

A:

Q: Question in pic below. Specifically a dynamics problem.

A: Consider that the height at point A is taken as the datum that is all the heights will be measured…

Q: Problem 14-70 Determine the smallest amount the spring at B must be compressed against the block…

A:

Q: 14-9. The “air spring" A is used to protect the support B and prevent damage to the conveyor-belt…

A: Given Data Mass of the block is: m=20 kg The height of the suspension is: h=0.4 m Assume that the…

Q: A tugboat T having a mass of 19 Mg is tied to a barge B having a mass of 75 Mg. If the rope is…

A:

Q: 14-51. The 1000-lb elevator is hoisted by the pulley system and motor M. If the motor exerts a…

A: Apply condition of equilibrium ∑Fy=03(500)-1000=100032.2×a a=16.1 ft/s2 When the load has been…

Q: 14-3. The crate, which has a mass of 100 kg, is subjected to the action of the two forces. If it is…

A: Given, kinetic friction coefficent (µ)=0.2 Initial velocity u=0 Final velocity=6m/s Mass of the…

Q: F14-8. If F = (10 s) N, where s is in meters, and the contact surface between the block and the…

A: From the given data:

Q: 15-127. The fan blows air at 6000 ft³/min. If the fan has a weight of 30 lb and a center of gravity…

A: Given Data: The flow rate of air blows by the fan is, Q=6000 ft3/min=6000 ft3/min×min60 s=100…

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.