The dresser has a weight of 80 lb and is pushed along the floor as shown in(Figure 1). Assume h = 3.5 ft. The coefficient of static friction at A and B isμ = 0.28 and the coefficient of kinetic friction is μ = 0.2.Figure2.5 ftA-1.5 ft-1.5 ft-B< 1 of 1Part ADetermine the smallest horizontal force P needed to cause motion.Express your answer in pounds to three significant figures.VE ΑΣΦ 41 IvecP= 30.0SubmitPart BX Incorrect; Try Again; 2 attempts remaininga =SubmitPart CPrevious Answers Request AnswerIf force P is increased slightly, determine the acceleration of the dresser.Express your answer in feet per squared second to three significant figures. Enter positive value if the acceleration is to the right and negative value if the acceleration is to theleft.VE ΑΣΦ 11 Ivec↑NA. NB =Request AnswerIVE ΑΣΦ | 11?veclb?Also, what are the normal reaction at A and B when it begins to move?Express your answers in pounds using three significant figures separated by a comma.ft/s²?Reviewlb

Given : h = 3.5ft μs = 0.28 μk = 0.2 Since for the condition of the equilibrium ∑F = 0 ; ∑M = 0 static state = slipping •) consider horizontal sum of forces ∑Fx = 0 ⇒fA + fB - P = 0 (static μs = 0.28) ⇒0.28NA + 0.28NB - P = 0. .…….............(1) •) Consider vertical sum of forces ∑Fy = 0 ⇒ NA + NB - 80 = 0 ⇒NA + NB = 80 ......(2) From the equations (1) and (2) ⇒ 0.28NA + 0.28NB = P ⇒0.28(NA + NB) = P ⇒0.28*80 = P So P = 22.4 lb Kinetic condition = tipping -Since when tipping , the contact loses at B , so normal force do not exists ( NB = 0) -And NA is equivalent to the only vertical force 80lb ( NA = 80) •) consider sum of moment of forces about A ∑MA = 0 ⇒P(3.5) -80(1.5) - NB(3) =0⇒P(3.5) - 80(1.5) - 0 = 0⇒P = 80*1.5/3.5 = 34.285lb Since the force exceeds limiting state of slipping ( 34.285 > 22.4) Hence the minimum force P to cause the motion P = 22.4 lb•)Consider Kinetic condition of motion : Since ⇒ NA + NB - 80 = 0 ⇒NA + NB = 80 .... (1) By horizontal sum of forces ∑Fx = max ⇒fA + fB - P = max ⇒0.2NA + 0.2NB - P = max. (since Kinetic μk = 0.2) ⇒0.2(NA + NB) - P = max ..... (2) ⇒0.2(80) - 22.4 = (80/32.2)*ax ⇒ax = - 2.576 ft/s2 (negative indicates acceleration to the left) Also moment about A ∑MA = ma*d ⇒P*3.5 + NB*3 - 80*1.5 = (80/32.2)2.576*2.5 ⇒22.4*3.5 +NB*3 -120 = 16 ⇒NB = 19.2 lb From equation (1) ⇒NA = 80 - NB ⇒NA = 80 - 19.2 ⇒NA = 60.8 lb

Engineering

Mechanical Engineering

The dresser has a weight of 80 lb and is pushed along the floor as shown in (Figure 1). Assume h = 3.5 ft. The coefficient of static friction at A and B is H4 = 0.28 and the coefficient of kinetic friction is μ = 0.2. Part A Determine the smallest horizontal force P needed to cause motion. Express your answer in pounds to three significant figures. 17. ΑΣΦ. It Ivec P= 30.0 Submit Previous Answers Request Answer * Incorrect; Try Again; 2 attempts remaining Part B If force P is increased slightly, determine the acceleration of the dress Express your answer in feet per squared second to three signific left. 15] ΑΣΦ41/vec

The dresser has a weight of 80 lb and is pushed along the floor as shown in (Figure 1). Assume h = 3.5 ft. The coefficient of static friction at A and B is H4 = 0.28 and the coefficient of kinetic friction is μ = 0.2. Part A Determine the smallest horizontal force P needed to cause motion. Express your answer in pounds to three significant figures. 17. ΑΣΦ. It Ivec P= 30.0 Submit Previous Answers Request Answer * Incorrect; Try Again; 2 attempts remaining Part B If force P is increased slightly, determine the acceleration of the dress Express your answer in feet per squared second to three signific left. 15] ΑΣΦ41/vec

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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.

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The dresser has a weight of 80 lb and is pushed along the floor as shown in
(Figure 1). Assume h = 3.5 ft. The coefficient of static friction at A and B is
μ = 0.28 and the coefficient of kinetic friction is μ = 0.2.
Figure
2.5 ft
A
-1.5 ft-1.5 ft-
B
< 1 of 1
Part A
Determine the smallest horizontal force P needed to cause motion.
Express your answer in pounds to three significant figures.
VE ΑΣΦ 41 Ivec
P= 30.0
Submit
Part B
X Incorrect; Try Again; 2 attempts remaining
a =
Submit
Part C
Previous Answers Request Answer
If force P is increased slightly, determine the acceleration of the dresser.
Express your answer in feet per squared second to three significant figures. Enter positive value if the acceleration is to the right and negative value if the acceleration is to the
left.
VE ΑΣΦ 11 Ivec
↑
NA. NB =
Request Answer
IVE ΑΣΦ | 11
?
vec
lb
?
Also, what are the normal reaction at A and B when it begins to move?
Express your answers in pounds using three significant figures separated by a comma.
ft/s²
?
Review
lb

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