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Mechanics Dynamics
Schaum's Outline of Engineering Mechanics Dynamics
330 SOLVED PROBLEMS
Question: 7.SP.40
A ball rebounds vertically from a horizontal floor to a height of 20 m. On the next rebound, it reaches a height of 14 m. What is the coefficient of restitution between the ball and the floor? ...
Verified Answer:
Let subscript 1 refer to the ball. The initial and...
Question: 7.SP.39
Two billiard balls meet centrally with speeds of 2 and -4 m/s. What will be their final speeds after impact if the coefficient of restitution is assumed to be 0.8? ...
Verified Answer:
Let subscript 1 refer to the
2 \mathrm{~m}...
Question: 7.SP.38
What happens during inelastic impact? ...
Verified Answer:
This is the case when one body absorbs the other o...
Question: 7.SP.37
Rework Problem 7.36 for the impact of purely elastic bodies (e = 1). ...
Verified Answer:
For elastic impact, substitute
e=1 [/latex...
Question: 7.SP.36
Solve the following impact equations for unknowns v1 and v2: e = v2 – v1/u1 – u2 (1) m1u1 + m2u2 = m1v1 + m2v2 (2) where e = coefficient of restitution u1, u2 = speed of bodies 1 and 2, respectively, before impact v1, v2 = speeds of bodies 1 and 2, respectively, after impact m1, m2 = masses ...
Verified Answer:
Multiply (1) by
\left(u_{1}-u_{2}\right) m...
Question: 7.SP.35
Two small spheres, each with a mass of 2 kg, are connected by a light string as shown in Fig. 7-32. The horizontal platform is rotating under no external moments at 36 rad/s when the string breaks. Assuming no friction between the spheres and the groove in which they ride, determine the angular ...
Verified Answer:
The initial moment of inertia
I_{i} [/late...
Question: 7.SP.34
Figure 7-31 shows a remote-controlled 5-kg object at a distance of 1.5 m from the center of a horizontal “weightless” turntable that is turning 2 rad/s about a vertical axis. An opposing moment M = 3t N⋅m is applied to the shaft. Determine (a) how long it will take for the turntable to reach a ...
Verified Answer:
(a) The angular momentum of the object is the prod...
Question: 7.SP.33
A spring unstretched is 200 mm long and connected to the two masses shown in Fig. 7-30 and compressed 80 mm. If the system is released on a frictionless horizontal plane, what will be the speed of each block when the spring is again at its unstretched length? The spring constant is 2000 N/m. ...
Verified Answer:
Since the same spring force acts on the two masses...
Question: 7.SP.32
A 60-g bullet moving with a speed of 500 m/s strikes a 5-kg block moving in the same direction with a speed of 30 m/s. What is the resultant speed v of the bullet and the block, assuming the bullet to be embedded in the block? ...
Verified Answer:
Momentum of system before impact
= [/latex...
Question: 7.SP.31
As another example of conservation of momentum, consider the recoil of guns. ...
Verified Answer:
ANALYSIS Initially the projectile is at rest in th...
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