Statics of Particle and Forces: Force resolution and representation, Equilibrium, Free-body diagram, etc. 1-1 The crate of mass m kg is hoisted using a pulley-ring connector and inextensible cables as shown. a) With a simple diagram, explain how a given 2-D rigid body with multiple concurrent forces can be treated as a particle- b) (i) Express EBC in its rectangular components using the Cartesian coordinates. (ii) Find the resultant of the weight of the crate and the tension in cable BC. (iii) Determine the magnitude of the tension in cable BD and the angle required for static equilibrium. c) Assess the condition of equilibrium if a small ring is used at B instead of the pulley and that cable BD is directed at 0= 40°. X B A DO

Statics of Particle and Forces: Force resolution and representation, Equilibrium, Free-body diagram, etc. 1-1 The crate of mass m kg is hoisted using a pulley-ring connector and inextensible cables as shown. a) With a simple diagram, explain how a given 2-D rigid body with multiple concurrent forces can be treated as a particle- b) (i) Express EBC in its rectangular components using the Cartesian coordinates. (ii) Find the resultant of the weight of the crate and the tension in cable BC. (iii) Determine the magnitude of the tension in cable BD and the angle required for static equilibrium. c) Assess the condition of equilibrium if a small ring is used at B instead of the pulley and that cable BD is directed at 0= 40°. X B A DO

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

Similar questions

The iceberg idealization may becomeunstable if its sides melt and its height exceeds its width. InFig. suppose that the height is L and the depth intothe paper is L , but the width in the plane of the paper isH , L. Assuming S =0.88 for the iceberg, fi nd the ratio H / Lfor which it becomes neutrally stable (about to overturn).
Use vectors to explain why it is difficult to hold a heavy stack of books perfectly still for a long period of time. As you become exhausted, what eventually happens? What does this mean in terms of the forces acting on the books?
A large transport aircraft shown below whose gross weight is 100,000 lb. The airplane pitching mass moment of inertia Iy=40,000,000 lb-s2 in. The airplane is making a level landing with the nose wheel slightly off the ground. The reaction on the rear wheels is 319,000 lbf inclined at such an angle to give a drag component of 100,000 lb and a vertical component of 300,000 lb. Determine: a) The intertial forces on the airplane. b)The resultant load on the pilot whose weight is 180 lbm and whose location is as given in the figure.
A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical direction
A spherical neutrophil 16µm in diameter is resting as shown in the attached photo. The pressure difference between the inside and outside of the cell is 7.5Pa. a) Draw free body diagrams of the whole cell and one hemisphere of the cell. b) Calculate cortical tension in the cell. In a micropipette aspiration experiment, a suction pressure of 52.5 Pa was used to aspirate the neutrophil membrane. c) Draw free body diagrams of the whole cell under micropipette aspiration and the portion of the cell in the micropipette. What is the diameter of the micropipette tip used to make this hemispherical projection? Next, the micropipette aspiration was stopped, and the cell was treated with Cytochalasin D, an inhibitor of actin polymerization, causing the cortical tension to decrease by half. d) Assuming the pressures inside and outside the cell have not changed, what is the new cell radius? e) If the same micropipette was used to aspirate the cell, what would be the new suction pressure?
An Olympic lifter (m = 103kg) is holding a lift with a mass of 350 kg. The bar exerts a purely vertical force that is equally distributed between both hands. Each arm has a mass of 9 kg, are 0.8m long and form a 40° angle with the horizontal. The CoM for each arm is 0.5 m from hand. Assuming the lifter is facing us in the diagram below, his right deltoid inserts 14cm from the shoulder at an angle of 13° counter-clockwise from the humerus. Find the force right deltoid
Two spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and weighing 4000 N, are tied with a rope and placed in seawater. The density of sea water is 1025 kg/m^3. It was found that the spheres floated vertically with the lighter sphere just under the water surface. Illustrate the problem before answering the following questions: (a) Determine the diameter of the lighter sphere in meters. (b) Determine the tension in the rope in Newtons. Please answer this with diagram PLEASE. ASAP po.
A float sensor for the determination of the level of water in a vessel has a cylindrical float of mass 2.0 kg, cross-sectional area 20 cm2 and a length of 1.5 m. It floats vertically in the water and presses upwards against a beam attached to its upward end. What will be the minimum and maximum upthrust forces exerted by the float on the beam? Suggest a means by which the deformation of the beam under the action of the upthrust force could be monitored.
A 0.5-m diameter helium (Density of He = 0.18 kg/m3) balloon is attached by a rope to the bottom of a 10-m deep freshwater lake (Fig. 1). Given that the rope can sustain a maximum tensile force of 300 N, would it be able to secure the balloon? Please clearly illustrate your free-body diagram.
A plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane itself weighs 10670 Newtons (2849lbs), it has 40 gallons of gasoline in its tanks, and the pilot and passenger together weigh 1513 Newtons (340 lbs). One gallon of gasoline weighs 25 Newtons (5.67lbs). What is buoyant force on the plane when it floats in a body of water? Take the mass density of water to be 1000 kg/m3 and the acceleration due to gravity as 9.8 m/s2 what volume of water do the pontoons displace?
A plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane itself weighs 10670 Newtons (2849lbs), it has 40 gallons of gasoline in its tanks, and the pilot and passenger together weigh 1513 Newtons (340 lbs). One gallon of gasoline weighs 25 Newtons (5.67lbs). What is buoyant force on the plane when it floats in a body of water? Take the mass density of water to be 1000 kg/m3 and the acceleration due to gravity as 9.8 m/s2
On October 21, 2001, Ian Ashpole of the United Kingdom achieved a record altitude of 3.35 km (11,000 ft) powered by 600 toy balloons filled with helium. Each filled balloon had a radius of about 0.47 m and an estimated mass of 0.32 kg. (a) Estimate the total buoyant force on the 600 balloons. (Enter your answer to at least two decimal places.) kN(b) Estimate the net upward force on all 600 balloons. kN(c) Ashpole parachuted to Earth after the balloons began to burst at the high altitude and the system lost buoyancy. Why did the balloons burst? Atmospheric pressure at this high or low altitude is much lower or higher than at the Earth's surface.