The system shown starts from rest, and each component moves with a constant acceleration. If the relative acceleration of block C with respect to collar B is 60mm/s³ upward and the relative acceleration of block D with respect to block A is 110 mm/s² downward, determine (a) the velocity of block C after 3 s, (b) the change in position of block D after 5 s. 00:06.41 D.

The system shown starts from rest, and each component moves with a constant acceleration. If the relative acceleration of block C with respect to collar B is 60mm/s³ upward and the relative acceleration of block D with respect to block A is 110 mm/s² downward, determine (a) the velocity of block C after 3 s, (b) the change in position of block D after 5 s. 00:06.41 D.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Determine: a. acceleration b. the distance from point A to point B

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

Q: Two friction discs A and B will come into contact, without slipping, when the angular velocity of…

A: rA = 150 mm = 0.15 m rB = 200 mm = 0.2 m N = 310 rpm

Q: A car with tires of 700 mm diameteraccelerates at a constant rate from rest to a elcoity of 68 km/h…

Q: Block C starts from rest and moves downward with a constant acceleration. Knowing that after 10 s…

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

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

A: Ans GivenNow draw the FBD of the given slider B asNow calculate the length d asNow from…

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: The three blocks shown move with constant velocities. Find the velocity of each block. Knowing that…

A: Given data, The relative velocity of A with respect to C = 400 mm/s The relative velocity of B…

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: The platform is rotating about the vertical axis such that at any instant its angular position is 0…

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: Q3: The motion of an oscillating flywheel is defined by 0 = 00e that 0, = 0.5 rad, determine the…

A: Given, θ=θ0e-3πtcos4πt, where θ is in radians and t in seconds. θ0=0.5 rad Angular velocity,…

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: 7. The mechanism shown transforms circular motion of the crank into a reciprocating motion of the…

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: Question 1. A multi degree of freedom robotic arm moves so that P travels in a circle about Point B,…

A: Tangential acceleration, at=10 mm/s2 Speed, v=att Normal acceleration, an=v2p=at2t2pwhere…

Q: The speed of a flywheel whose diameter is 8 ft is increasing from rest at the uniform rate of 2…

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

Q: When the speed reached 120 km/h, the car entered a curved road of radius 150 m. The brakes are…

Q: ali 4 Q4// Two cars A and B, approaching each other in adjacent highway lanes. A and B are 0.8 mi…

A: car A and car B are at a distance of 0.8 mile apart i.e.,= x = 0.8 mi =1.287 km = 1287 m speed of…

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: A test car starts from rest on a horizontal circular track of 105-m radius and increases its speed…

A: Given: Initial velocity = 0 final velocity = 120*5/18 = 33.33 m/s t = 18 s Find: a at t=15 s=?

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

Q: The collar A shown slides along the rotating rod OB. The angular position of the rod is given by = O…

A: Given:θ=23πt3R=18t4+4t=1.5 sec

Q: from rest at point A on a circular entrance ramp when t=0, increases the speed of her automobile at…

A: Given:RAB=450 ftSBC=300 ft

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: 3. The system shown begins its motion from rest and each component moves with a constant…

A: Given, At t=0 , v=0 aC/B = 60 mm/s2 (upward) aD/A = 110 mm/s2 (downward)

Q: The system shown starts from rest, and each component moves with a constant acceleration. If the…

A: (a) Draw a diagram for the system. Here, yA, yB, yC, and yD are the lengths of the cables as shown…

Q: For the block and pulley system shown, determine the acceleration of block A that will result in an…

A: given datarelative acceleration of the block B with respect to A to findacceleration of the block A…

Q: Question 27 If block A, of 6 kg moves down the inclined plane with a constant velocity when theta =…

A: Given data Mass = 6 kg At thetha = 25° , constant velocity At thetha = 40°C , find the acceleration…

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: The belt sander shown is initially at rest. If the driving drum B has a constant angular…

A: Given data: Angular acceleration of the drum, a = 120 rad/s2. Angular velocity when t=0 s, ωo = 0…

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: Block C starts from rest and moves downward with a constant acceleration. Knowing that after & s the…

A: The basic concept is that the length of cable remains constant and on integrating the distance…

Q: Block C starts from rest and moves downward with a constant acceleration. Knowing that after 12 s…

Q: For a short time the arm of the robot is etending at a constant rate such that i- 1.5 ft/s when r- 3…

Q: Load B is connected to the double pulley by one of the two unstretched cables as shown. The movement…

Q: A 20⁰ B

A: -The schematic diagram is as follows-

Concept explainers

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.

Question

100%

Homework 3
The system shown starts from rest, and each component moves with a constant acceleration. If
the relative acceleration of block C with respect to collar B is 60mm/s³ upward and the relative
acceleration of block D with respect to block A is 110 mm/s² downward, determine (a) the
velocity of block C after 3 s, (b) the change in position of block D after 5 s.
00:06.41

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

15.44 The 200 gram bullet has a constant speed relative to the rifle barrel of 2700 km/hr when it is in the position shown. In order to follow the target, the rifle is being rotated about the vertical axis at the constant rate 2 = 0.05 rad/s. The angle of inclination is constant at 0= 60°. Determine (a) the acceleration of the bullet, and (b) the y and z components of the force exerted by the rifle barrel on the bullet. Fixed point معلم 400 mm Bullet Urel= 2700 km/hr PROB. 15.44
7. For a short time, the arm of the robot is extending such that i = 1.5 ft/s when r = 3 ft, z = (3t?) ft, and 0 = 0.5t rad, where t is in seconds. Determine the magnitudes of the velocity and acceleration of the grip A when t = 3 s. A
3. A bomb which is initially at rest explodes into three fragments. Fragment A of known mass ma moves at a known angle of 8 measured clockwise with respect to the positive y-axis with a known speed |val. Fragment B of unknown mass (but let's call it m3 ) moves at a known angle o measured counterclockwise with respect to the negative x-axis with a known speed |is|. A third fragment C of known mass mc moves off along the negative y-axis with an unknown speed (let's call it |vc]). Only the forces between the fragments are significant during the collision. a. Draw a diagram that shows the initial and final states of the bomb fragments. Label the velocity vectors and known angles. b. Define what you would like to include in your system. c. Write a Newton's 2nd Law equation for this system. d. Determine the speed of fragment C and the mass of fragment B in terms of the known quantities.
In the mechanism shown, the block B is constrained to move vertically and is attached to the bar BD. The point A on the bar AD is fixed. Express all your answers in the component system shown. At the instant shown, the block B is moving downward at a constant speed of 2.6 ft/s, 9 45°, and 0 = 33°. If I = 14 in. and d = 8 in., determine the angular accelerations of bars AD and BD at this instant. = B a AD a BD = = 8 rad/s² | rad/s²
2. For a short period of time, the motor turns gear A with a constant angular acceleration, starting from rest. The cord is wrapped around pulley D which is rigidly attached to gear B. 2) if the radii are: A = 70 mm, r = 230 mm, and rp = 90 mm, the constant angular acceleration of gear A, AA is 4.4 rad/s², determine the angular acceleration of gear B, CB, in rad/s². Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. αA A P Your Answer: 1'B Answer -1'p'
The gear starts from rest and the angular position of line OP is given by e = 2t³ – 7t2 where O is in radians and t is in seconds. The magnitude of the total acceleration of point P when t = 2s is: а. 38 2-ft, b. 20 s2 с. 10 s2 32 d.
A test car starts from rest on a horizontal circular track of 115-m radius and increases its speed at a uniform rate to reach 95 km/h in 19 seconds. Determine the magnitude a of the total acceleration of the car 12 seconds after the start.
Knowing that in Figure 1 at the instant shown block A has a velocity of and an acceleration of both directed down the incline, determine (a) the velocity of block B, (b) the acceleration of block B. A spring AB is attached to a support at A and to a collar (Figure 2). The un-stretched length of the spring is l. Knowing that the collar is released from rest at and has an acceleration defined by the relation , determine the velocity of the collar as it passes through point C. [
To speed up the unrolling of a telephone cable the trailer with the reel of cable starts from rest and is given a constant acceleration of 2.1 ft/sec². Simultaneously, the tow truck pulls the free end of the cable horizontally in the opposite direction with a constant acceleration of 3.4 ft/sec². If both vehicles start from rest at the same instant, determine the magnitude of the total acceleration of point A on the forward end of the horizontal reel diameter (a) just as the motion starts and (b) at a time t = 1.5 sec after the start of the motion. 3.4 ft/sec² 1/9 2.7' A 2.1 ft/sec²
A test car starts from rest on a horizontal circular track of 95-m radius and increases its speed at a uniform rate to reach 90 km/h in 19 seconds. Determine the magnitude a of the total acceleration of the car 15 seconds after the start. 95 m
solve for tangential component of the acceleration
Block C starts from rest and moves downward with a constant acceleration. Knowing that after 10 s the velocity of block A is 465 mm/s, determine 1. The accelerations of A, B, and C 2. The velocity of block B after 8 s. D Select one A BA = 38 mm/s (downward): ag = 25.3 mm/s (upward): ac = 12.7 mm/s (downward); and Va = 202.7 mm/s (upward) B = 45.6 mm/s (downward); as = 304 mm/s (upward), ac = 15,2 mm/s (downward) and Vi = 1216 mm/s (upward) C B= 465 mm/s (downward): as = 31 mm/s (upward): ac = 15.5 mm/s (downward); and Va = 248 mm/s (upward) D 31 = 36 mm/s (downward); ag = 25,3 mm/s (upward) ac = 127 mm/s (downward); and Vg = 1013 mm/s (upward)