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These... The 60 lb bar is supported as shown. Surface B is frictionless. Where m

ID: 1861622 • Letter: T

Question

These...

The 60 lb bar is supported as shown. Surface B is frictionless. Where must the 10 lb weight be placed to maintain equilibrium? Ans: 3.35 ft A 90 kg man is climbing a 5 m ladder that has a mass of 20kg. what are a) the reactions on the ladder when x = 1.5m and b) the smallest value for x that will make the ladder fall? (a)RA = 647 N, RB = 858 N, (b) 2.61 m The mechanism shown is designed to maintain tension on the wire shown during processing. If the device has a mass of 0.4 kg that can be idealized as being at point G and the spring force is 14 N, what is the tension in the wire and the magnitude of the force at A? T= 13.7 N,RA = 27.4 N

Explanation / Answer

A.

let N be the normal force act on the wedge and T be the tension in wire

N act at an angle of 30 with horizontal

equilibrium condition

sum of net force in x direction = 0

T cos 35 = N cos 30

N = 0.94 T

sum of net force in y direction = 0

T sin 35 + N sin 30 = 60 + 10

on solving

T = 67.3 lb

net moment about point where Nacts = 0

(T sin 35 * 4ft )-(60 lb * 2 ft )- (10 lb * x ft) =0

put all value we get

x =3.35 ft


c.

net moment about A = 0

(T * 20mm )+(14 N * 120 mm ) -(T * 120mm) - ( 0.4g * 80mm ) =0

T= 13.7 N

LET FORCE ON A BE R

lr

let at A in -x direction force is Rx and in -y direction force is Ry such that

R=( Rx^2 + Ry^2 )^1/2

in y direction

13.7 + 14 = 0.4g + Ry

Ry =23.776 N

Rx = T = 13.7 N

R=( 23.776^2 + 13.7^2 )^1/2

R=27.4N


B.

FIGURE IS NOT CLEAR

















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