A 1500 kg load is lifted by a hoist using a Ø1.5 m drum. The drum is driven by an electric motor.through a gearbox with a reduction ratio- 25. At a certain instant, 175 m of unwrapped rope is lifting the load and 7.4 m of rope is wrapped on the drum. மmm; diameter = 215 m IonuM- 322 kg-m- (includes the inertia effects of the gearbox only) Motor speed - TMOTOR 1200 rpm 1.24 kg-m Rope: mass: 3 kg al Show that the equivalent momeat of inertia of the notor and drim gearbox is 1109.5 kg-m" at the drum. by At this instant, determine the motor torgpe required if the load as accelerating upward at 3,5 ms-.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.8.10P: A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see...
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A 1500 kg load is lifted by a hoist using a Ø1.5m drum. The drum is driven by an
electric motor through a gearbox with a reduction ratio-25, At a certain instant, 175
m of unwrapped rope is lifling the load and 7.4 m of rope is wrapped on the drum.
Drum:
diameter ØI5 m
IDRUM –
322 kg-m² (includes the inertia effects of the gearbox only)
Motor,
speed
IMOTOR
1200 rpm
1.24 kg-m2
Rope:
3 kel
a) Show that the equivalent moment of inertia of the motor and drumgearbox is
2695 kg-m the drum
byArthis instant, determine the motor toreue requinedifthe load is accelerating
q t the load s accelerating
upward at 3.5 s-
Transcribed Image Text:A 1500 kg load is lifted by a hoist using a Ø1.5m drum. The drum is driven by an electric motor through a gearbox with a reduction ratio-25, At a certain instant, 175 m of unwrapped rope is lifling the load and 7.4 m of rope is wrapped on the drum. Drum: diameter ØI5 m IDRUM – 322 kg-m² (includes the inertia effects of the gearbox only) Motor, speed IMOTOR 1200 rpm 1.24 kg-m2 Rope: 3 kel a) Show that the equivalent moment of inertia of the motor and drumgearbox is 2695 kg-m the drum byArthis instant, determine the motor toreue requinedifthe load is accelerating q t the load s accelerating upward at 3.5 s-
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