AY19-20: QUESTION 3 A 5 kg rod BC is attached by pins to two uniform disks as shown in the figure. The mass of the large disk is 5 kg and that of the smaller disk is 1 kg. A spring with spring constant of 50 N/m is attached to the pivot joint at C, which is un-stretched at this given position. Knowing that the system is released from rest in the position shown, and the two disks roll without slipping, determine the velocity of the rod after the large disk has rotated through 90°. 50 mm 50 mm 100 mm B Figure 3

AY19-20: QUESTION 3 A 5 kg rod BC is attached by pins to two uniform disks as shown in the figure. The mass of the large disk is 5 kg and that of the smaller disk is 1 kg. A spring with spring constant of 50 N/m is attached to the pivot joint at C, which is un-stretched at this given position. Knowing that the system is released from rest in the position shown, and the two disks roll without slipping, determine the velocity of the rod after the large disk has rotated through 90°. 50 mm 50 mm 100 mm B Figure 3

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: A box of mass m,=9.4 kg on a rough inclined plane of angle a= 58° is connected with a string of…

Q: А LAB A drum with radius of r = 0.75 ft and a radius of gyration of kg = 0.488 ft is attached to a…

Q: (5) The uniform slender rod (mass m and length L) is pinned to the center of the uniform disk (mass…

Q: 8. The mass of the gear wheel is ma = 50 kg and the radius of inertia kO = 125 mm. Rack B stays in…

Q: Question I A pickup truck is driving at a gpead of lookmlh On a leveled road. This trudk is has 4…

Q: ramophone is driven by a rernor. The mass of each centre of a leaf spring is

A: given:b=5mmt=0.125mmE=210KN/mm2m=20g

Q: (5) The uniform slender rod (mass m and length L) is pinned to the center of the uniform disk (mass…

Q: The 1-in thick disk shown below initially spins at 200 rpm about an axle held by a fork-ended…

A: Given Data The intial rotational speed is:N1=200 rpm The thickness of the disk is:t=1in The…

Q: The spring shown in Figure Q7 below has an un-stretched length of 0.8 m and a stiffness of 60 Nm ¹.…

A: For solution refer below images.

Q: connects two pullets A and B the centres of which are 4 m a part. The belt has a mass of 1.15kg/m.…

Q: Flexible links in robot arms are encountered in many industrial plications. Figures 1 and 2 show…

A: Givenu(t)= torque of motor generatedq=angle of rotationk=spring stiffnessB= frictionJ=Interia of…

Q: Wheel A, of 30kg, is located in the position shown by the effect of idler wheel D (frictionless…

Q: (5) The uniform slender rod (mass m and length L) is pinned to the center of the uniform disk (mass…

Q: 4. A solid disc of mass 6.5 kg and radius 0.5 m rests on a 2.25 kg trolley. A light cord is wrapped…

A: Given Data: Mass of the Solid disk M=6.5 kg radius of the solid Disk r = 0.5 m Mass of the trolley…

Q: part 2 please

A: The mass of the bar is m=3.2 kg The radius of bar is r=120 mm The angular velocity is ω=4.3 rad/s…

Q: A 4 lb unbalanced wheel is rolling without slipping on a horizontal surface with an angular velocity…

Q: A load of mass 200kg is lifted by means of a rope which is wound several times round a drum and…

A: Given DatamL=200kgmB=150kgfs1=120Nfs2=100Nd=1.4mk=540mm=0.54ma=1.4m/s2V=3.5m/s

Q: what is the answer to this

Q: The assembly shown weighs 12 lb and consists of 4 thin 16-in.- diameter semicircular aluminum plates…

A: Using the second rotational kinematic equation, Here, θ represents the angular displacement, ωo…

Q: Figure shows a system of cylinder (m = 50 kg) and a load (m = 30 kg) connected through a rope. The…

Q: adius of 10.5 cm. Due to the mal adjustment of spring, the equilibrium speed of governor at top…

Q: a) The length of the arms of a Porter governor is 300mm long. The upper and lower 10 arms are…

Q: A file cabinet weighing 215 lb is being pushed to the right with a horizontal force P applied a…

A: The maximum height at which the cabinet can be pushed and the acceleration of the cabinet. Given:…

Q: A uniform cylinder of mass m₁ and radius R is pivoted on frictionless bearings. A massless string…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Two (2) huge circular mass are resting inside a larger container with a length equal to 9 meters.…

Q: 6m 15° A B -0,5 m

Q: (5) The uniform slender rod (mass m and length L) is pinned to the center of the uniform disk (mass…

Q: 4. A uniform disc of mass m = 3 kg and radius R=0.5 may roll without slip on the 30 degree incline…

Q: The mechanism in the figure is in a vertical plane. Bar AC has a mass m, and the gravitational…

A: It is asked to find the reaction at 'A' and 'B' when the link OA rotates at constant angular…

Q: Figure shows a system of cylinder (m = 55 kg) and a load (m = 62 kg) connected through a rope. The…

Q: h2 G2 G1 L1 X2 m2, k2 Fig Qa Fig Qb m1, k1 Two compound pendulums of lengths L1 and L2 are pivoted…

A: The dimensions of the object in suspension in a simple pendulum are much lower than the distance…

Q: A rigid body is made of two identical thin rods of mass M and length L fasted together in the form…

A: Inertia of solid body is dependent on the mass of the body. Angular acceleration is the term used to…

Q: Question 7 of 10 Current Attempt in Progress - Your answer is partially correct. 0.64 m Answers: k=…

Q: Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50…

Q: A uniform disc of 25-kg mass and 500-mm diameter is mounted on a shaft. The plane of the disc is not…

A: Data given- m = 25 kg d = 500 mm r = 500/2 = 250 mm = 0.25 m θ = 2.5° N = 1000 rpm

Q: 1. Block A has a weight of 350 lb, and is attached to the cylinder/hub arrangement B as shown. The…

A: Given: WA=350 lbWB=340 lbIC=30 ft-lb-s2

Q: (5) The uniform slender rod (mass m and length L) is pinned to the center of the uniform disk (mass…

A: To derive: The equation of motion of the system with variable x and θ. Given: The mass and length of…

Q: (a) At this instant, what is the speed of the center of the apparatus? U = Part 2 0.708548386 (b) At…

Q: 35 mm 30 mm Steel 2 m Bronze The composite shaft shown is twisted by applying a torque T at end A.…

A: Here, considering the maximum shear stress of the composite shaft is 100 Mpa.

Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step by step

Solved in 7 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Clutches, Brakes, Couplings and Flywheels

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

In a spring-loaded governor of the Hartnell type, the lengths of the horizontal and the vertical arms of the bell- crank lever are 40 mm and 80 mm respectively. The mass of each ball is 1.2 kg. The extreme radii of rotation of the balls are 70 mm and 105 mm. The distance of the fulcrum of each bell- crank lever is 75 mm from the axis of rotation of the governor. The minimum equilibrium speed is 420 rpm and the maximum equilibrium speed is 4% higher than this. Neglecting the obliquity of the arms, determine the (i) spring stiffness, (ii) initial compression, and (iii) equilibrium speed corresponding to radius of rotation of 95 mm.
25
A slender, uniform, metal rod with mass M is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring with force constant k is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. If the rod is displaced by a small angle 0 from the vertical and released, show that it moves in angular SHM and calculate the period. (Hint: Assume that the angle 0 is small enough for the approximations sin 0 z 0 and cos 0 z 1 to be valid. The motion is + w?0 = 0, and the period is then T = 21 ) simple harmonic if dt2 d²0 :)
Modified exercise from the book vector mechanics for engineers: statics and dynamics th edition.Chapter 4 exercise 1 The boom on a 6300kg truck is used to unload a pallet of shingles of weight 7750kg . Determine the reaction at each of the two (a) rear wheels B, (b) front wheels C
dynamics
PROBLEM 3 WY ↓x R Mechanical system consists of: body 1 of mass mm; body 3 - two-stage disk of mass my-2m, radii r and R=2r, and radius of inertia i,- toward horizontal axes passing through its center; both bodies 4-equal horizontal springs each of coe- fficient of elasticity c. An ideal cord 2 connects body 1 and body 3. Disk 3 moves by its small drum on a fixed horizontal plane without sliding. At the initial moment system is turned out of its equilibrium by small shifting of magnitude x, of the body 1 in the x direction (according to the figure) and released with initial velocity of magnitude vo. Assuming the system makes small oscillations around its equilibrium, neglecting resistance forces, and m, r, c are positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; c) differential equation of the system motion (using the body 1 motion at x direction); d) the law of the system motion (using the body 1 motion at x direction).
5. Please show your complete solution. Please typewritten for upvote.
Exercise 30: A uniform and homogenous rod (R) of length L=100cm and mass m=lkg is free to rotate about a fixed axis passing through its extremity O. The rod is held in equilibrium by connecting its other extremity A to a point B in a vertical wall by means of a light in- extensible string that makes an angle 0 = 60° with respect to the wall. A block (S) of mass M=lkg is connected to the rod at its extremity A by means of a light in-extensible string. Take g=10m/s. 1. Name and represent all the forces acting on the rod. 2. Determine T the magnitude of the tension force T in the string AB. 3. Determine the magnitude of the reaction force R exerted by the wall on (R). 30 120° (R) (S)
A Hartnell type spring loaded governor rotates about a vertical axis. The two rotating masses weigh 10 N each rotate at a radius of 130 mm when the speed is 600 r.p.m. At this speed the arms, which are vertical and horizontal, have effective lengths of 110 mm and 80 mm respectively. The equilibrium sped is 630 r.p.m when the rotating masses are at their maximum radius of 160 mm. Determine the stiffness rate of spring, the compression of spring at 600 r.p.m.
!
Torsional springs provide a simple propulsion mechanism for toy cars. When the rear wheels are rotated asif the car were moving backward, they cause a torsional spring (with one end attached to the axle and the other to thebody of the car) to wind up and store energy. Therefore, a simple way to charge the spring is to place the car onto asurface and to pull it backward, making sure that the wheels roll without slipping. Note that the torsional spring canonly be wound by pulling the car backward; that is, the forward motion of the car unwinds the spring.Let the weight of the car (body and wheels) be W = 5 oz, the weight of each of the wheels be Ww= 0.15 oz, and theradius of the wheels be r = 0.25 in., where the wheels roll without slip and can be treated as uniform disks. Neglectingfriction internal to the car and letting the car’s torsional spring be linear with constant kt= 0.0002 ft-lb/rad, determinethe maximum speed achieved by the car if it is released from rest after pulling it…