IMPULSE, MOMENTUM, AND ROTATING BODIES
Answer
1. Object A (mass 2 kg) moves at 4 m/s east. Object B (mass 3 kg) approaches Object A at 2 m/s west. Determine the velocity of Object A if:
(a) The two objects get stuck together after collision.
(b) Object B moves at 3 m/s west after collision.
(c) Object B moves at 1 m/s east after collision.
2. A 70 kg mass is pushed by a constant force for 4 seconds until it reaches a velocity of 5 m/s.
(a) What is the initial momentum of the mass?
(b) What is the final momentum of the mass?
(c) What is the value of the force acting on the mass?
(d) What is the impulse acting on the mass?
3.
a. An object sweeps out a central angle of 3π radians in 1 second as it moves along a circle of radius 4 m. Find its linear and angular speed over that time period.
b. An object travels a distance of 20 meters in 5 seconds as it moves along a circular path of radius 5 meters. Calculate its linear and angular speed over the time period.
4.
a. Determine the moment of inertia of a solid disk with a mass of 6 kg and a radius of 0.5 meters about its center.
b. Three forces act on a beam with a length of 6 meters, as shown. What is the net torque that rotates the beam about point O. See M6 Figure 1 attached below.
5. A material has dimensions of 150 cm long, 6 cm wide, and 12 cm deep. When subjected to an axial force of 3000 kN, it experiences an elongation of 2 cm. Calculate the:
(a) Stress applied to the material.
(b) Strain experienced by the material.
(c) Young's modulus of elasticity for the material.
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