Question

1) A uniform beam of mass $m$ is pivoted at its lower end, with a horizontal spring attached between its top end and a vertical wall. The beam makes an angle $\theta$ with the horizontal. Find expressions for a) the distance $d$ the spring is stretched from equilibrium and b) the components of the force exerted by the pivot on the beam. Hint: You may need to assume, and label, certain information not given. 2) During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by her legs. If the upward force on the lower performer is three times her weight, how much do the bones (the femurs) in her upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 3.60 cm in diameter. Her mass is 60.0 kg.

          1)
A uniform beam of mass $m$ is pivoted at its lower end, with a horizontal spring attached between its top
end and a vertical wall. The beam makes an angle $\theta$ with the horizontal. Find expressions for
a) the distance $d$ the spring is stretched from equilibrium and
b) the components of the force exerted by the pivot on the beam.

Hint: You may need to assume, and label, certain information not given.

2) During a circus act, one performer swings upside down hanging from a trapeze holding another, also
upside-down, performer by her legs. If the upward force on the lower performer is three times her
weight, how much do the bones (the femurs) in her upper legs stretch? You may assume each is
equivalent to a uniform rod 35.0 cm long and 3.60 cm in diameter. Her mass is 60.0 kg.

1)
A uniform beam of mass m is pivoted at its lower end, with a horizontal spring attached between its top
end and a vertical wall. The beam makes an angle θ with the horizontal. Find expressions for
a) the distance d the spring is stretched from equilibrium and
b) the components of the force exerted by the pivot on the beam.

Hint: You may need to assume, and label, certain information not given.

2) During a circus act, one performer swings upside down hanging from a trapeze holding another, also
upside-down, performer by her legs. If the upward force on the lower performer is three times her
weight, how much do the bones (the femurs) in her upper legs stretch? You may assume each is
equivalent to a uniform rod 35.0 cm long and 3.60 cm in diameter. Her mass is 60.0 kg.

Added by Monica H.

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