A laboratory exercise on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a separate pulley clamped to the edge of the platform and then tied to a freely hanging mass, so that each string is under tension and the ring is suspended parallel to the table surface. There is a mass of m₁ = 153 g located at 0₁ = 24.5° and a second mass of m₂ = 211 g located at 0₂ = 279°. Calculate the mass m3 and the location 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform. m m3 = g 03 = = m3 m₂
A laboratory exercise on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a separate pulley clamped to the edge of the platform and then tied to a freely hanging mass, so that each string is under tension and the ring is suspended parallel to the table surface. There is a mass of m₁ = 153 g located at 0₁ = 24.5° and a second mass of m₂ = 211 g located at 0₂ = 279°. Calculate the mass m3 and the location 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform. m m3 = g 03 = = m3 m₂
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A laboratory exercise on the concept of static equilibrium
uses an apparatus called a force table. The force table consists
of a round, level platform marked in degree increments about
its circumference. In the center of the table sits a massless
ring, to which three strings are tied. Each string is strung over
a separate pulley clamped to the edge of the platform and
then tied to a freely hanging mass, so that each string is under
tension and the ring is suspended parallel to the table surface.
There is a mass of m₁ = 153 g located at 0₁ = 24.5° and a
second mass of m₂ = 211 g located at 0₂ = 279°. Calculate
the mass m3 and the location 03 (in degrees) that will balance
the system and hold the ring stationary over the center of
the platform.
m
m3 =
g 03 =
=
m3
m₂
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