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: Knowing that at the instant shown assembly A has a velocity of 9 in./s and an acceleration of 15…

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Q: To study the performance of a race car, a high-speed camera is positioned at point A. The camera is…

A: Given b= 26 m         θi=60° θf= 35°    △t=tf-ti=0.5 sec

Q: В PROBLEM 15.172 The collar P slides outward at a constant relative speed u along rod AB, which…

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Q: The 540-lb cylinder at A is hoisted using the motor and the pulley system shown. The speed of point…

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Q: angular acceleration of the connecting rod is governed by the relationship α = -6.5θ where α is…

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Q: 1 Q2.The crane shown rotates at the constant rate w = 0.3 rad/s; simultaneously, the telescoping…

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

A: Given dataVA=0.8 in/sr=3.5 inPin A moving circular path

Q: A connecting rod is supported by a knife-edge at point A. For small oscillations the angular…

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Q: Problem 3. The train on the circular track travels with the constant speed indicated, while the…

A: Given-Information:- vA = -28 ft/s...in diagram the value is 28vB = 65 ft/sspeed rate = 2.3 ft/s2…

Q: PROBLEM The mechanism shown below is used in a distribution center to push boxes along a platform…

A: In this question, the input link is rotating with a given angular velocity and angular acceleration.…

Q: 1. Determinar las ecuaciones de movimiento para el sistema mostrado. M2 Fing K1 K2 L M1 M3

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Q: Problem 16.130 The ball B of negligible size rolls through the tube such that at the instant shown…

A: To find:Part A: Velocity of the ball if the tube has an angular velocity,  = 3 rads/s and an angular…

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

A: Draw the given diagram.

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: A 1-lb ball A and a 2-lb ball B are mounted on a horizontal rod which rotates freely about a…

A: Solution: Given Data: mA=1 lbmB=2 lbri,A=10 inrf,A=10 inri,B=8 inrf,B=16 inVi,A=8 ft/s   To Find:…

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

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Q: Gear A Radius = 0.06 m    Gear B Radius = 0.3 m       Gear C Radius = 0.36 m Note that the Load is…

A: From the given data,

Q: Both 15-cm-radius wheels rll without slipping on the horizontal surface. Knowing that the distance…

A: For wheel 1, Let the speed of wheel 1 be ω1Angular acceleration of wheel 1 be α1As wheel us pure…

Q: A particle, of mass 9 kg, is attached to two identical springs. The other ends of the springs are…

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Q: The motion of an oscillating crank is defined by the relation u = u0 sin (π t/T) - (0.5u0) sin…

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Q: A rocket sled is tested on a straight track that is built along a meridian. Knowing that the track…

A: Given data: The velocity of the rocket sled, v = 900 km/hr. Calculate the angular velocity of the…

Q: A homogeneous wire bent to form the figure shown is attached to a pin support at A. Knowing that r =…

A: Given Radius r = 220 mm Point B pushed down to 20 mm To find Magnitude of velocity B 8 s latter

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

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: A connecting rod is supported by a knife-edge at point A. For small oscillations the angular…

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Q: The mechanism shown in (Figure 1) is used in a riveting machine. It consists of a driving piston A,…

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Q: The mechanism shown in (Eigure 1) is used in a riveting machine. It consists of a driving piston A,…

A: Given:To find:Velocity of D.

Q: Problem 2 Airplane A is flying as shown with speed is being increased at a rate of 12 m/s². Airplane…

A: velocity of A VA=400 kph velocity of B VB=500KPh acceleration of A aA=12 m/s2 tangential…

Q: 11.20 A spring AB is attached to a support at A and to a collar. The unstretched length of the…

A: The acceleration is expressed as, From the above expression. Integrate the above expression.

Q: A helicopter moves vertically in the y direction at a speed of 10 km/h. Knowing that the main blades…

A: Angular velocity is the rotational velocity of a body. It is equal to the angular distance covered…

Q: A spring AB is attached to a support at A and to a collar (Figure 2). The un-stretched length of the…

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Q: A belt is puled vertically upwards between disks A + B, knowing that +the speed of the belt is…

A: Given data:

Q: The mechanism shown in (Figure 1) is used in a riveting machine. It consists of a driving piston A,…

A: The mechanism shown in (Figure 1) is used in a riveting machine. It consists of a driving piston A,…

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: N=600 rpmt=4s

Q: At a given instant in an airplane race, airplane A is flying horizontally in a straight line, and…

A: The velocity at A is The acceleration at  A is The velocity at B is .The deceleration at B is

Q: determine the radius of curvature p of the path of the constrained 1)

A: Given DataFind OutThe radius of curvature of the path of the constrained pin P

Q: In a boat race , boat A is leading boat B by 32.2m and both boats are travelling at a constant speed…

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

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Q: The truck travels along a circular road that has a radius=810 m at a speed=54 m/s. For a short…

A: Given, Radius, R=810mSpeed, u=54m/sTangential acceleration,at=0.3t m/s2t=18sWe know…

Q: At a given instant the slider block B shown in (Figure 1) is moving to the right with the speed vp =…

A: The objective of the question:(a) Determine the magnitude of the acceleration of point A at this…

Q: 15.44 The 200 gram bullet has a constant speed relative to the rifle barrel of 2700 km/hr when it is…

A: Given: The mass of the bullet, m = 200 gm = 0.2 kg The bullet speed, v = 2700 km/h = 750 m/s The…

Q: 3. A bomb which is initially at rest explodes into three fragments. Fragment A of known mass ma…

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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.