ses of 10 kg, 20 kg and 50 kg attached at radial distances of 100 mm, 200 mm and 90 mm, respectively to a disc on a shaftare in complete balance. Determine the angular positions of the masses of 20 kg relative to the 10 kg

ses of 10 kg, 20 kg and 50 kg attached at radial distances of 100 mm, 200 mm and 90 mm, respectively to a disc on a shaftare in complete balance. Determine the angular positions of the masses of 20 kg relative to the 10 kg

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.20P: Locate the instant center of rotation of bar AB for each case shown.

See similar textbooks

Related questions

Q: 5. A shaft carries five masses A, B, C, D and E which revolve at the same radius in planes which are…

Q: A shaft carries four masses A,B,C and D of magnitude 220 kg, 320 kg, 420 kg and 220 kg respectively…

Q: Đetermine the equivalent of the system using the angular motion of the bar 2c C Slender bar of mass…

A: Given data: Spring constant=k Need to determine the equation of motion for the given beam.

Q: A 2500-kg satellite is 2.4 m high and has octagonal bases of sides 1.2 m. The coordinate axes shown…

A: Write the expression of the angular velocity. Write the expression of the moment of inertia about…

Q: Four masses A, B, C and D rotating on the shaft at radii 180 mm, 240 mm, 120 mm and 150 mm…

Q: he pendulum consists of a 6.5- kg circular plate and a 2.5- kg slender rod. Determine the radius of…

A: Given:mc=6.5 Kgmr=2.5 Kgd=1 ml=2 m

Q: The double pulley consists of two parts that are attached to one another. It has a mass of 20 kg and…

Q: A shaft has four masses 10 kg, 6 kg, 12 kg and kg attached at radial distances of, respectively, mm,…

A: The answer is in the next steps

Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

Q: Q) A rotating shaft carry four unbalanced masses 12kg, 8kg, 10kg and 6kg at radii 4cm,5cm,6cm and…

Q: A composite pendulum is made of a uniform slender rod and a uniform disk. If the rod has length of…

A: Find the mass moment of inertia about axis x' that pass through point O.

Q: Three masses m, m, and m, of 10 kg, 9 kg and 16 kg respectively revolve in the same plane at radii…

Q: The pendulum is composed by two identical rods (m=8kg, L=2m).The pendulum is initially at rest, at…

A: Given: The mass of rods, m = 8 kg The length of rods, L = 2 m

Q: The 19-N bar is on a smooth horizontal table, and it has a moment of inertia about the center of…

A: Torque = MOI x Angular Acceleration Applied torque about centre of mass = Force x distance from the…

Q: The circular concrete culvert rolls with an angular velocity of w= 0.48 rad/s when the man is at the…

A: Angular velocity = 0.48 rad/s Radius of gyration = 3.6 ft Combined weight = 500 lb

Q: The 17-N bar is on a smooth horizontal table, and it has a moment of inertia about the center of…

A: Given data: Moment of inertia about the center (I) = 1.7 kg.m2 Applied force (F) = 18 N Length of…

Q: Q#1: Four masses A, B, C and D carried by a rotating shaft at radii 80 mm, 100mm, 160 and 120 mm…

Q: Three uniform rods—ABC, DCE, and FGH —are connected as shown. Which of the following statements…

A: The rod ABC, FGH and DCE are fixed to each other and the all point on the rod will have the same…

Q: The 285-kg wheel has a radius of gyration about its center O of ko = 300 mm, and radius r = 0.4 m.…

A: Use parallel axis theorem to moment of Inertia about IC

Q: A pulley has a mass 34.2 kg and having a radius of gyration of 1.71 m. is connected to two blocks…

Q: An aeroplane makes a complete half circle of 70 metres radius, towards left, when flying at 500 km…

A: Given Radius, R = 70 m Speed, V = 500 km/hr = 138.88 m/s…

Q: Question 3 The gear rack has a mass of 6 kg, and the gears each have a mass of 4 kg and a radius of…

A: Given: mass of the rack→mr=6 Kg mass of each gear→mg=4Kg Radius of gyration of each gear→k=30…

Q: 1. The gear shown has a mass of 10 kg and is mounted at an angle of 10° to the rotating shaft which…

A: To find: Reactions at the bearings A and B.

Q: Q1) A track with four wheels, each of (800 mm) diameter, travels on rails round curve of (100 m)…

Q: A, B, C and D are four masses carried by a rotating shaft at radii 100 mm, 156 mm, 152 mm and 200 mm…

A: Given: The radius of rotation of mass A is rA = 100 mm.The radius of rotation of mass B is rB = 156…

Q: A shaft carries five masses A, B. C, D and E which revolve at the same radius in planes which are…

Q: A shaft carries four masses A, B, C and D of magnitude 10 kg, 20 kg, 15 kg and 25 kg respectively…

Q: A shaft carries four masses A, B, C and D of magnitude 200 kg. 300 kg. 400 kg and 200 kg…

Q: Three masses of 8 kg, 12 kg, and 15 kg attached at radial distances of 80, 100, and 60 mm…

A: Rotating elements in machines generate unacceptable forces caused due to unbalance. Unbalanced…

Q: The mass moment of Inertia of rotating parts of an automobile with rear engine is 1.2 kg - m and…

A: The answer is in below steps

Q: Four stroke engine has two outer cranks set at 140° to each other, and their reciprocating masses…

Q: 6/209 The nose-wheel assembly is raised by the applica- tion of a torque M to link BC through the…

Q: A turbine rotor is found to be out of balance to the extent of 1.5 kg at 0.45 m radius in the plane…

A: A moment is a movement of the body when a body is rotating on an axis. The moment is also known as…

Q: The upper and lower ends of the arms are pivoted on the axis of the governor has equal arms of…

A: Given data, Length of the arms, L = 44 cm = 0.44 m Extended arm of the lower end, Le = 0.10 m…

Q: A yoyo is constructed by attaching three uniform, solid disks along their central axes as shown. The…

A: Icm= MR22+MR22+M2R222 = 17MR216M=58g…

Q: Given: mechanism consists of 3 members: (1) block 1 of mass m1=6kg; (2) wheel 2 – non- homogeneous…

A: (1) Let T1-2 be the tension in vertical string and it will be the same in horizontal string because…

Q: At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It…

Q: A pulley has a mass 34.2 kg and having a radius of gyration of 1.71 m. is connected to two blocks…

Q: tating shaft carries four masses 176.6 N, 137.3 N, 157 N and N at radii 5 cm, 6 cm, 7 cm and 6 cm…

Q: o disks A and B, of mass-moments of inertia I 3 kg.m and Ie 5 kg.m, are connected by a belt as own.…

A: Given dataMass moment of inertia of the disk A IA = 3 kg-m2Mass moment of inertia of the disk B IB =…

Q: The pendulum consists of the 4-kgkg slender rod and the 5.5-kgkg thin plate. Suppose that aaa = 1.5…

A: To determine the centroid of the combined mass can easily be calculated by the formula-…

Q: 6/209 The nose-wheel assembly is raised by the applica- tion of a torque M to link BC through the…

Q: A shaft carries four masses A, B, C and D of magnitude 210 kg, 310 kg, 410 kg and 210 kg…

Q: A particular gyroscope is made by taking two long, skinny, solid cylinders affixed along their long…

A: Solution: Given Data: m1=5 g=0.005 kgm2=350 g = 0.35 kgr2=5 cm=0.05 mr1=3 mm=0.003 m

Q: Determine the rotational inertia of the device shown below. R = 0.50 m, r = 0.2 m, the mass of the…

Q: The compound pulley shown has a centroidal mass moment of inertia of 40 N.m.sec?. determine the…

Q: The circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k bar = 25…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Three masses of 10 kg, 20 kg and 50 kg attached at radial distances of 100 mm, 200 mm and 90 mm, respectively to a disc on a shaftare in complete balance.
Determine the angular positions of the masses of 20 kg relative to the 10 kg mass.
Select one:
A.
66, 114, 246, 294 degrees
B.
50, 90, 200, 250
C.
140, 200, 225, 290
D.
66, 114, 200, 250

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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

Three masses of 8 kg, 12 kg, and 15 kg attached at radial distances of 80, 100, and 60 mm respectively to a disc on a shaft are in complete balance. Determine the angular positions of the masses of 12 kg and 15 kg relative to the 8 kg mass.
A shaft carries four masses A, B, C and D of magnitude 210 kg, 310 kg, 410 kg and 210 kg respectively and revolving at radii 7 cm, 6 cm, 7 cm and 7.5cm in planes measured from mass A at 30 cm, 40 cm and 70cm. The angular positions of the masses B,C,and D are 450,1150,235° from the mass A. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 10cm, between X and Y is 40cm and between Y and is 20 cm. If the balancing masses revolve at a radius of 10cm.Find the magnitude and angular position of mass Y
a rotating shaft carries four unbalanced masses 18 kg, 14 kg, 16 kg and 12 kg at radii 50 mm, 60 mm, 70 mm and 60 mm respectively. the 2nd, 3rd and 4th masses revolve in planes 80 mm, 160 mm and 280 mm respectively measured from the plane of the first mass and are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass looking from this mass end of the shaft. the shaft is dynamically balanced by two masses, both located at 50 mm radii and revolving in planes mid-way between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. determine, graphically or otherwise, the magnitudes of the masses and their respective angular positions.
The total mass of the Baja car and driver, including the wheels, is 250 kg. Each pair of 58-cm radius wheels and the axle has a total mass of 20 kg and a mass moment of inertia of 2.9 kg·m2 . The center of gravity of the driver and Baja body (not including the wheels) is located x = 0.70 m from the rear axle A and y = 0.55 m from the ground. The wheelbase is L = 1.60 m. If the engine exerts a torque of 500 N·m on the rear axle, what is the car’s acceleration?
A rotating shaft carries four unbalanced masses 18 kg, 14 kg, 16 kg and 12 kg at radii 50 mm, 60 mm, 70 mm and 60 mm respectively. The 2nd, 3rd and 4th masses revolve in planes 80 mm, 160 mm and 280 mm respectively measured from the plane of the first mass and are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass.The shaft is dynamically balanced by two masses, both located at 50 mm radii and revolving in planes mid-way between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. Determine, balancing mass by drawing couple polygon and their respective angular position graphically.
The circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k bar = 25 mm and has a concentric circular groove of 55-mm radius cut into it. A steady force Tis applied at an angle theta to a cord wrapped around the groove as shown. If T = 40 N, theta = 0, mu_s = 0.11, and mu_k = 0.09, determine the angular acceleration a of the
In the helicopter shown; a vertical tail propeller is used to pre- vent rotation of the cab as the speed of the main blades is changed. Assuming that the tail propeller is not operating determine the final angular velocity of the cab after the speed of the main blades has been changed from I80 to 240 rpm. (The speed of the main blades is measured relative to the cab, and the cab has a centroidal moment of inertia of 650 lb.ft.s2. Each of the four main blades is assumed to be a slender rod 14 ft weighing 55 lb.)
An aeroplane makes a complete half circle of 70 metres radius, towards left, when flying at 500 km per hr. The rotary engine and the propeller of the plane has a mass of 600 kg and a radius of gyration of 0.3 m. The engine rotates at 2500 r.p.m. clockwise when viewed from the rear. Find the gyroscopic couple on the aircraft.
) A, B, C and D are four masses carried by a rotating shaft at radii 100mm,125mm,200mm and 150mm respectively. The planes in which the masses revolve are spaced 600mm apart and the masses of B, C and D are 10kg,5kg and 4kgrespectively.Find the required mass A and relative angular setting of the four masses so that the shaft be in complete balance.
A, B, C and D are four masses carried by a rotating shaft at radii 100 mm, 156mm, 152 mm and 200 mm respectively. The planes in which the masses rotateare spaced at 500 mm apart. The magnitude of the masses B, C and D are 9 kg, 5 kg and4 kg respectively. Find the required mass A and the relative angular settings of the fourmasses so that the shaft shall be in complete balance.
Find the center of mass (x̄, ȳ, z̄) of the object shown, given: L1 = 50 mm, L2 = 110 mm, L3 = 25 mm, L4 = 70 mm, L5 = 20 mm, L6 = 20 mm, L7 = Ø 10 mm
A turbine rotor is found to be out of balance to the extent of 1.5 kg at 0.45 m radius in the plane AA and 2kg at 0.6 m radius in the plane BB, the relative angular positions being given in the end view. It is desired to balance these masses by a mass in each of the planes XX and YY at radii of 0.525m and 0.45m respectively. Determine the magnitude and positions of these masses and show their positions in an end view. (Answer: X, 1.42kg, 209.27 degrees from A; y, 2.12KG, 329.1 degrees from A)