In order to uncoil electrical wire from a 0.6-m-radius spool fixed to a truck, a worker drives to the left with a speed of vA = 5 m/s. At the same time, a second worker holds the cable as he walks to the right with a speed of vB = 3 m/s. Knowing that at the instant shown the thickness of wire on the spool is 40 mm, determine (a) the instantaneous center of rotation of the spool, (b) the velocity of point D on the inside of the spool.

Q: In the system shown below, Block A starts from rest and moves upward with a constant velocity of 25…

A:

Q: A plastic film moves over two drums. During a 4-s interval the speed of the tape is increased…

A: givenV0=3.5ft/s =42inch/secV1=6ft/s  =72inch/sec

Q: At the instant shown, cars A and Bare traveling at speeds of 55 mi / hand 40 mi / h. respectively.…

A:

Q: A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating…

A: Given data:   *The acceleration of the point A is a=-1.8 sin kt. *The angular velocity of the system…

Q: The collar Pslides outward at a constant relative speed u along rod AB, which rotates…

A: Write the equation for uniform rotational motion θ = θo +wt t= θ – θo /w = (90-0) (π/180) / 18* 2…

Q: The brakes of a car are applied, causing it to slow down at a rate of 1.5 m/s2. Knowing that the car…

A: Given, the deceleration of the car, a=-1.5 m/s2. Stopping distance of the car, s=300m. Since after…

Q: 9 An object which is released from rest from the top A of a tower of height h will appear not to…

A:

Q: From a photograph of a homeowner using a snowblower, it is determined that the radius of curvature…

A: Given, ρA=30 ftg = 32.2 ft/s2 (↓)

Q: PROBLEM 11.46 Car A is parked along the northbound lane of a highway, and car B is traveling in the…

A: Givenat t=0vA=0vB=60min/hAt t=5saB=-aA6when x=294ftvA=vB

Q: 2. The brakes of a car are applied, causing it to slow down at a rate of 10 ft/s'. Knowing that the…

A:

Q: Q4// Two cars A and B, approaching each other in adjacent highway lanes. A and B are 0.8 mi apart at…

A: Given data: -  The distance between A and B car is s = 0.8 mi. The speed of A is uA = 70 mi/hr. The…

Q: The earth makes one complete revolution on its axis in 23 h 56 min.Knowing that the mean radius of…

A: Given: Time taken for 1 revolution of Earth t=23 h 56 min. Main Radius of the earth R=3960 miles.…

Q: SAMPLE PROBLEM A motorist is traveling on a curved section of highway of radius 2500 ft at the speed…

A: Given: The radius of path, r = 2500 ft The speed of motor, u = 60 mi/h = 88 ft/s The time given, t =…

Q: A 500-lb box B is suspended from a cable attached to a 40-lb truck A mounted on an I-beam inclined…

A:

Q: A radar system is used to track a new experimental space launch vehicle. Early in the vehicle’s…

A: Given: The rate of azimuth angle, dβ/dt = 20⁰/s The rate of elevation angle, dʏ/dt = 40⁰/s The rate…

Q: PROBLEM 11.46 Car A is parked along the northbound lane of a highway, and car B is traveling in the…

A:

Q: Example 7. Knowing that at the instant shown block A has a velocity of 2 ft/s to the left and an…

A:

Q: 11.167 To study the performance of a racecar, a high-speed camera is positioned at Point A. The…

A: Given:

Q: PROBLEM 11.46 Car A is parked along the northbound lane of a highway, and car B is traveling in the…

A:

Q: A polisher is started so that the fleece along the circumference undergoes a constant tangential…

A:

Q: A radar system is used to track a new experimental space launch vehicle. Early in the vehicle's…

A: Angular velocity :  ωy = dβ / dt = 28o / s ωy = 0.488692 rad / s Similarly ;  ωγ = dγ / dt = 40o / s…

Q: Problem 2: A robot arm moves so that P travels in a circle about point B, which is not moving.…

A:

Q: block B are € Example: Collar A and connected by a cable passing over three pulleys C, D, and E as…

A:

Q: A car that is initially at rest accelerates along a straight, level road according to the diagram…

A: The area under the acceleration-time graph is equal to the change in velocity.

Q: I seconds, respectively. Knowing that x= 0 and v=0 at t=0, determine the velocity and position of…

A:

Q: The system shown starts from rest, and the length of the upper cord is adjusted so that A, B, and C,…

A: Given Data After 2seconds yB/C = 280mm  vB/A = 80 mm/s yA-(yA)0 =160 mm yB-(yB)0 = 320 mm aB>120…

Q: 3- Pin A, which is attached to link AB, is constrained to move in the circular slot CD. Knowing that…

A:

Q: ball A and ball B are mounted on a horizontal rod that rotates freely about a vertical shaft. The…

A:

Q: Show that knowing that at the instant shown, step AB of the step exerciser is rotating…

A: The step AB is rotating counterclockwise at a constant rate φ at instant shown.

Q: A helicopter moves horizontally in the x direction at a speed of 120 mi/h. Knowing that the main…

A: Given Data Velocity of helicopter, V=120 mi/h =176 ft/s Angular velocity, ω=180 rpm=2π60(180)=6π…

Q: PROBLEM 11.141 240 km/h A Racecar A is traveling on a straight portion of the track while racecar B…

A:

Q: 3. The brakes of a car are applied, causing it to slow down at a rate of 10 ft/s2. Knowing that the…

A: Given: displacement s= 300 ft deceleration a = -10 ft/s2 To find: (a) initial velocity u = ? (b)…

Q: Instruments in airplane A indicate that, with respect to the air, the plane is headed 30° north of…

A: The velocity of the plane = 274 miles/hour at 30.9⁰ velocity and direction of the wind = 26.7…

Q: A polisher is started so that the fleece along the circumference undergoes a constant tangential…

A: Given: The value of tangential acceleration is a= 4 m/s2. The value of diameter is d=225 mm=0.225…

Q: When studying whiplash resulting from rear-end collisions, the rotation of the head is of primary…

A: Given:Angular accleration of head,α=700cosθ+70sinθNow,Angular acceleration,α=dωdt=ωdωdθwhere…

Q: Manufactured items are spray-painted as they pass through the automated work station shown. Knowing…

A: Use a frame of reference CE rotating about the x-axis with angular velocity               ω1=0.4rads…

Q: An object which is released from rest from the top A of a tower of height h will appear not to fall…

A: Given:acceleration, a=2vy ω cosγh=1000 ftγ=30oω=0.7292×10-4uy=0g=32.13 ft/s2

Q: PROBLEM 11.12 The acceleration of a particle is defined by the relation a = kt². (a) Knowing that…

A:

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.