1. For a given value of the force P=5lb, determine the steady‐state spring
compression Δ, which is measured relative to the unstretched length of
the spring of modulus k = 0.7 lb/in. The weight of the cart with mass M
is 32.2 lb and that of the slider with mass m is 3.22 lb. Theta = 30o.
Neglect all friction. In addition, state the Δ if the cart’s wheels become
fixed to the ground.
2. Collars A and B slide along the fixed rods and are connected by a rod of
length L = 20cm and mass 0.7 kg. If vB =+𝑠̇ = 3 m/sec (e.g. s is
increasing), what is vA, the velocity of collar A?
3.
As part of an orbital model, the small particle of mass m = 4.0 kg and its restraining cord
of length r = 0.65 m are spinning with an angular velocity ω = 1.1 rad/s on the horizontal
surface of a smooth disk, shown in section. As the force F is slowly relaxed, r increases
and ω changes. When r = 0.75 m, what is the angular velocity? How does the energy
change when the orbit expands from r = 0.65 m to r = 0.75 m?
4.
The car A is ascending a parking-garage ramp in the form of a
cylindrical helix of 24 m radius rising 10 m for each half turn. At the
position shown the car has a speed of 20 m/sec, which is decreasing at
the rate of 15 m/sec per second. Determine the r-, θ-, and zcomponents of the acceleration of the car.
5.