Slider C has a weight of 0.5 Ib and may move in a slot cut in arm AB , which rotates at the constant rate θ ' 0 = 10 rad/s in a horizontal plane. The slider is attached to a spring of constant k = 2.5 lb/ft, which is unstretched when r = 0 . Knowing that the slider is released from rest with no radial velocity in the position r = 18 in. and neglecting friction, determine for the position r = 12 in. ( a ) the radial and transverse components of the velocity of the slider, ( b ) the radial and transverse components of its acceleration, ( c ) the horizontal force exerted on the slider by arm AB.
Slider C has a weight of 0.5 Ib and may move in a slot cut in arm AB , which rotates at the constant rate θ ' 0 = 10 rad/s in a horizontal plane. The slider is attached to a spring of constant k = 2.5 lb/ft, which is unstretched when r = 0 . Knowing that the slider is released from rest with no radial velocity in the position r = 18 in. and neglecting friction, determine for the position r = 12 in. ( a ) the radial and transverse components of the velocity of the slider, ( b ) the radial and transverse components of its acceleration, ( c ) the horizontal force exerted on the slider by arm AB.
Solution Summary: The author explains the radial and transverse components of velocity of slider.
Slider C has a weight of 0.5 Ib and may move in a slot cut in arm AB, which rotates at the constant rate
θ
'
0
=
10
rad/s in a horizontal plane. The slider is attached to a spring of constant
k
=
2.5
lb/ft, which is unstretched when
r
=
0
. Knowing that the slider is released from rest with no radial velocity in the position
r
=
18
in. and neglecting friction, determine for the position
r
=
12
in. (a) the radial and transverse components of the velocity of the slider, (b) the radial and transverse components of its acceleration, (c) the horizontal force exerted on the slider by arm AB.
Three cables are pulling on a ring located at the origin, as shown in the diagram below. FA is 200 N in magnitude with a transverse angle of 30° and an azimuth angle of 140°. FB is 240 N in magnitude with coordinate direction angles α = 135° and β = 45°. Determine the magnitude and direction of FC so that the resultant of all 3 force vectors lies on the z-axis and has a magnitude of 300 N. Specify the direction of FC using its coordinate direction angles.
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