ENGG 1302 — Seminar 13
Final Exam Review
1. The motor draws in the cord at B with an acceleration of aB = 2 m/s2 . When sA = 1.5 m, vB = 6 m/s.
Determine the velocity and acceleration of the collar at this instant.
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2. The motor pulls on the cable at A with a force F = 30 + t2 lb, where t is in seconds. If the 34 lb crate
is originally on the ground at t = 0, determine its speed in t = 4 s. Neglect the mass of the cable and pulleys.
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3. The 15 kg block A slides on the surface for which µk = 0.3. The block has a velocity v = 10 m/s when it
is s = 4 m from the 10 kg block B. If the unstretched spring has a stiffness k = 1000 N/m, determine the
maximum compression of the spring due to the collision. Take e = 0.6.
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4. The motor turns the disk with an angular velocity of ω = 5t2 + 3t rad/s, where t is in seconds. Determine
the magnitudes of the velocity and acceleration of the point A on the disk when t = 3 s.
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5. The smooth 180 lb pipe has a length of 20 ft and a negligible diameter. It is carried on a truck as shown.
Determine the maximum acceleration which the truck can have without causing the normal reaction at A to
be zero. Also determine the horizontal and vertical components of force which the truck exerts on the pipe at
B.
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6. The wheel is made from a 5 kg thin ring and two 2 kg slender rods. If the torsional spring attached to
the wheel’s center has a stiffness k = 2 N·m/rad, and the wheel is rotated until the torque M = 25 N·m is
developed, determine the maximum angular velocity of the wheel if it is released from rest.
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