The mass of the box on the left is 30 kg, and the mass of the box on the right is 40 kg. The coefficient of static friction between each box and the inclined surface is Hs=0.2. Determine the minimum angle for which the boxes will remain stationary.

The mass of the box on the left is 30 kg, and the mass of the box on the right is 40 kg. The coefficient of static friction between each box and the inclined surface is Hs=0.2. Determine the minimum angle for which the boxes will remain stationary.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 7.35 The weight of the cylindrical tank is negligible in comparison to the weight of water it…

A: Given:- The weight of the cylindrical tank is negligible The water weighs = 62.4 lb/ft3 The…

Q: Compute the magnitude of the slope at the support and the free deflection 3W(kN/m) 0.7W(kN/m) 1m 3m…

A: The moment area method is based on two moment area theorems, which are used to find deflection and…

Q: P7.7. Compute the slope and deflection at points B and C in Figure P7.7. 120 kN . m A 4 m - 8 m

Q: 1. A uniform crate of mass 30 kg must be moved up along the 15° incline without tipping. Knowing…

A: Solm ⇒ m=30 kg* when the crate is about to tip , Normal force N will be zeero.Now zMc…

Q: The two blocks shown are originally at rest as can be seen in figure Q2. Neglecting the masses of…

A: Write a total length of cable connecting A and BxA-2yB= constant →equation 1length of cable A…

Q: -Analyse the frame by the Slope Deflection Method, and draw the bending moment diagram and shear…

A: Question is based on the frame subjected to uniform load . Length of member and magnitude of load…

Q: 7. The block is acted upon by its weight W = 500N, a Q = 750 N 10° inclined from horizontal, and the…

A: Given Data: Weight W=500NQ=750NInclined Angle from horizontal=10°Pressure Exerted by inclined Plane…

Q: 4. If the coefficient of static friction M0.35, will the box move? S2N 20kg

Q: The 100-lb boy at A is suspended from the cable that passes over the quarter circular cliff rock.…

A: Given: The coefficient of static friction is 0.4. The coefficient of kinetic friction is 0.35. The…

Q: a. Determine the slope and deflection at the free end of the over

Q: If mu = 0.30 under both blocks and A weighs 400 lb, find the maximum weight of B that can be started…

A: Given: Coefficient of friction, mu = 0.30 Weight of block A = 400 lb Rightward force on block A, P =…

Q: The 100-kg disk rests on a surface for which μB = 0.2.Determine the smallest vertical force P that…

A: FBD of the given problem:

Q: b) Determine the and coefficient of static friction ( us) between the friction pad at A and ground…

Q: A trapezoid has two equal slanting sides, a 6cm base and a 3 cm top parallel to and 5 cm above the…

Q: Find the slope @ B, deflection @ C, location of max defle

Q: What is the Vertical Reaction at A? What is the Moment at A? What is the Vertical Reaction at B?…

Q: calculate the vertical deflection at point B (using work-energy method). Assume M1=50 kNm and M2=70…

Q: Block A supports a pipe column and rests as shown on wedge B. Knowing that the coefficient of static…

Q: The mass of the unbalanced disk is m, and its center of gravity is located at G. If the coefficient…

Q: he 14-m slender beam has a mass of 65 kg and is released from rest in the horizontal position with…

A: GIVEN- Length of the slender beam -14m Mass =65 Kg θ=0 Coefficient of Static Frictionμ=0 The…

Q: 2. 2. A rectangular pontoon 10 m by 4 m in plan, weighs 280 KN and floats in sea water of density…

A: Procedure to find the metacentric height: Find the weight of water displaced. Calculate the volume…

Q: The block A and the wedge B weighs 100 kN and 40 kN, respectively. The coefficient of friction for…

A: Given: Given:WA=100KNWB=40KNμ=0.268Block ACalculate the force:FA=μRA =0.268×RAFAB=μRAB…

Q: Determine the active thrust pressure for the internal friction angle of 35°.

A: Given: Internal friction angle = 35°

Q: The uniform pole of length1 and mass m is placed against the supporting surfaces shown. If the…

A: Consider the free body diagram of the pole shown below.

Q: Using Three-Moment Equation, determine the Reactions and deflection at point B. E=29,000 ksi and…

A: Using three moment Equation- Determination of reaction and deflection at point B###

Q: PROBLEM 02 A block having a mass of 5 kg is tied to a cable as shown. The cable passes through a…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: Using Three-Moment Equation, determine the Reactions and deflection at point B. E=29,000 ksi and…

Q: 1. Determine the slope at D 2. Determine the deflection at D P=800 kN 4 kN a=3m B- 3 m 3 m

A: Solution;

Q: (a) Draw the FBD of A and B when the wedge B impends to slide to the left. Friction is negligible…

A: FBD of A FBD of B

Q: The force P is applied to the 31-kg block when it is at rest. Determine the magnitude and direction…

A: For the given block,

Q: P7.1. Derive the equations for slope and deflection for the beam in Figure P7.1. Compare the…

Q: If the beam AD is loaded as shown, determine the horizontal force P which must be applied to the…

A: Given :

Q: The 20-lb block A and the 30-lb block B are supported by an incline that is held in the position…

Q: USE SLOPE DEFLECTION METHOD. From the indeterminate frame shown, find the slope at D, in KNm /EI. El…

A: find the slope at D

Q: Solve the slope at the supports 73 (kN/m) 365 (kN) 4m 1m 1m ma Solve Using Area Moment Method

A: Given: Concentrated load = 365 kN UDL = 73 kN/m

Q: 7. The block is acted upon by its weight W = 500N, a Q = 750 N 10° inclined from horizontal, and the…

Q: F2-20. The 3-m-wide cart is filled with water to the level of the dashed line. If the cart is given…

A: B=3m a=4m/s2

Q: 2. Determine the slope and deflection at point A for figure (a) and point D for figure (b) as shown.…

A: Given in the Question it is required to determine slope and deflection T pointA and D for figure a…

Q: For the given frame Determine: The maximum horizontal displacement (sway) of the frame • The…

A: Solution: Considering the frame Load on AB For horizontal sway take all the load to ABEI…

Q: Using MOMENT-AREA Method for deflection analyze the beam below 25KN 10KN/m A El=120000KNm^2 CL…

Q: A wagon weighing 500 kN starts from rest, runs 30 m down and strikes the bumper post. If the rolling…

A: Given Data:Weight=500kNRuns=30mTanθ=1100K=15kN/mm=15×106N/mRolling Resistance= 5N/kN

Q: A gravity dam is a solid concrete structure, which is designed to safely stand against the…

A: Given, W1= 1.8 KN W2= 0.675 KN μs=0.3

Q: ,I=constant. 1o ft 1oft

Q: F8-12. Use the moment-area theorems and determine the slope at B and deflection at B. El is…

Q: 18. Determine the vertical deflection at the point where the 100N-m moment is located

A: Determination of Vertical deflection of a point where 100 Nm moment is Located ###

Q: F8-18. Use the moment-area theorems and determine the slope at A and displacement at C. El is…

Q: Determine the horizontal component of the total hydrostatic force in Newton the water exerts on the…

Q: 3. Two blocks A and B are connected by a horizontal bar whose mass is negligible. The mass of block…

Q: Use Virtual Work Method to solve for the vertical deflection at Put (-) negative sign if the…

Q: 6. The shear-force diagram for a beam is shown in the figure. Assuming that no couples act as loads…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

The mass of the box on the left is 30 kg, and the
mass of the box on the right is 40 kg. The coefficient
of static friction between each box and the inclined
surface is µs=0.2. Determine the minimum angle for
which the boxes will remain stationary.
30°

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

Given

VIEW

Equation from free body diagram

VIEW

Equation from free body diagram

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

At P = 150 kN, solve for the deflection at the right overhang using Castigliano's Theorem
Determine the deflection at the free end Ans: kN.m3 Determine the slope at point B. Ans. kN.m2
A simply supported beam carries a concentrated load of 36 kN at 6 meters from the left support (2 meters from the right support). Use EI = 80,000 kN-m2. Solve for the slope at the left support in degrees.
Knowing that L = 4 m, Concentrated load P = 15 kN and uniform distributed load w = 12 kN/m, determine the slope at C by Castigliano’s Theorem.(E= 200 GPa, I = 40x106 mm4)
For the truss in Figure P8.3, compute the horizon-tal and vertical components of the displacement of jointC. The area of all bars = 2500 mm2, and E = 200 GPa.
c. Slope at L/3. d. Deflection at L/3
2. 2. A rectangular pontoon 10 m by 4 m in plan, weighs 280 KN and floats in sea water of density 1025 kg m−3. A steel tube weighing 34 KN is placed longitudinally on the deck. When the tube is in a central position, the center of gravity for the combined mass is on the vertical axis of symmetry 0.25 m above the water surface. Find a) the metacentric height, and b) the maximum distance the tube may be rolled laterally across the deck if the angle of heel is not to exceed 5° c) Justify with complete illustration.
Using the moment-area method, find the slope at point C of the simply supported beam, shown in the figure, having an imposed point force P at the middle. EI=50000 KN/m^2, constant over the entire beam span.
Dam is concrete gravity dam that impounds water both on the upstream and down stream sides. if the coeffient of friction between the base and the dam is 0.34, determine the following: 1. total vertical reaction in kN 2. total horizontal reaction in kN 3. factor of safety against sliding 4. factor of safety against over turning 5. if the hydrostatic uplift varies linearly from 0 at the heel to zero at the toe, determine the foundation pressure.
If mu = 0.30 under both blocks and A weighs 400 lb, find the maximum weight of B that can be started up the incline by applying to A a rightward force P of 500 lb.
Determine the moment of Ma at the base of the buttress due to the applied thrust force F. Use Varignon's theorem. Force F is at a 5:12 slope.
(a) Compute the horizontal displacement of joint B produced by the 240-kN load in Figure P8.10. For all bars, area = 2400 mm2 and E = 200 GPa. (b) Assuming that no load acts, determine the horizontal displacement of joint B if support A moves 20 mm to the right and 30 mm down and support E moves downward 36 mm.