DYNAMICS - Lecture Notes / Mehmet Zor
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Questions with answers
about kinematics of particle
2.4
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Question 2.4.1) An object with a mass of 2 kg passes through point A with a speed of 5 m/s. The object compresses the spring at C and stops. Calculate the maximum amount the spring will compress. All surfaces have friction and the coefficient of kinetic friction is μ = 0.3. The spring coefficient is k = 60kN/m.(Answer: 0.148m)
Question 2.4.2) A bracelet with a mass of 0.25 kg is released from point A where it is at rest and begins to slide down a fixed frictionless rod;
Calculate the velocity of the bracelet as it passes point B and the normal reaction force N from the rod to the bracelet. (r = 0.15m)
(Answer: v= 3.11m/s , N = 14.42Newton)
2.4 Kinetics of Particle / Exam questions with answers
r
DYNAMICS - Lecture Notes / Mehmet Zor
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Question 2.4.3) In the system shown in the figure, if mass A falls from a height of 3 m onto object B, which is mounted on a spring, calculate the maximum compression of the spring and how much A will bounce back. The unextended length of the spring is 0.2 m. Coefficient of restitution e = 0.85, mA = 2.5 kg, mB = 10 kg (Answer: The spring compresses 46.2 cm, mass A bounces back 12.3 cm.)
B
A
3m
0.15m
2.4 Kinetics of Particle / Exam questions with answers
Question 2.4.4) A load is hung from a moving object as shown in the figure. If the object moves to the right with an acceleration of a = 1 m/s², what will be the angle θ of the cable on which the weight is hung with the vertical? (Answer: θ = =5.8 degree)
θ
a
DYNAMICS - Lecture Notes / Mehmet Zor
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Question 2.4.5) A 16 kg car is moving at a speed of 17 m/s on a frictionless surface. The car then climbs a 45° slope. 7 m ahead on this surface is a spring with coefficient k = 400 kN/m. How much does the car compress the spring? The spring is initially unextended. (Answer: 87.3 mm)
Question 2.4.6) A bullet weighing 0.2 N is fired at a stationary object weighing 50 N with a speed of v = 600 m/s and gets stuck in the ball. If the coefficient of friction between the object and the surface is μ = 0.3, find the horizontal distance the object will travel. (Answer: 0.97m)
50N
v = 600 m/sn
μ = 0,3
2.4 Kinetics of Particle / Exam questions with answers
m
17 m/sn
7 m
450
DYNAMICS - Lecture Notes / Mehmet Zor
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Question 2.4.7) An object with a mass of
m = 1 kg is subjected to the effects of variable and horizontal forces F1 and F2 while moving horizontally at a constant velocity of 5 m/sec. It is known that the graphs of the change in time of these forces are as shown in the Figure. Accordingly, find the velocities of the object at times t = 3 sec and t = 4 sec.
Answer (v3 =35m/s , v4 =40m/s )
2.4 Kinetics of Particle / Exam questions with answers
10
-5
F(N)
2
3
4
t(s)
F1
F1
F2
F2
5 m/sn
m
DYNAMICS - Lecture Notes / Mehmet Zor
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Question 2.4.8) A 50-gram bullet A is fired at a stationary 950-gram ball B with a speed of vA = 100 m/s and gets stuck in the ball.
a-)Calculate the common velocity of the ball and bullet immediately after collision.
b-) When they hit the ground, find the velocity components and the horizontal path they took,
Answers: a-) 5m/s, b-) vx=5m/s , vy=-6.28m/s, x =3.2m
2.4 Kinetics of Particle / Exam questions with answers
vA
B
A
2m
DYNAMICS - Lecture Notes / Mehmet Zor
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Question 2.4.9) Ball A weighing 2kg is released from the position shown in the figure and travels on a frictionless surface and hits ball B weighing 3kg attached to a rope. Given that the coefficient of restitution e = 0.9, a-) Find the maximum height to which ball B will rise, b-) Find the maximum force in the rope holding B.
Answer: a-) hmax = 0.578m b-) T=52.1 N
2.4 Kinetics of Particle / Exam questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
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450
600
A
B
2.4 Kinetics of Particle / Exam questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
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Question 2.4.11) Block A, weighing 50 N, is moving downward with a speed of 0.75 m/s at a given instant. Determine the speed of block A after 1.5 seconds. The weight of block B is 50 N and the kinetic friction coefficient between it and the surface is 0.25. The pulleys and ropes are weightless and frictionless.
Answer: vA = 2.22m/s
2.4 Kinetics of Particle / Exam questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
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2.4 Kinetics of Particle / Exam questions with answers
r
k
A
450
Question 2.4.12 A 2kg bracelet A is placed on a fixed semicircular ring of radius r = 1m and the bracelet is connected to a spring with coefficient k = 50N/m. The bracelet is released from the position shown in the figure. Calculate the total acceleration of the bracelet and the magnitude of the normal force acting on the bracelet at the moment it is released. Answer: a=4.15m/s2 , N=49N
DYNAMICS - Lecture Notes / Mehmet Zor
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Question 2.4.13 ) (*)
2.4 Kinetics of Particle / Exam questions with answers
(This question is a final question covering kinematics and kinetics topics together.)
DYNAMICS - Lecture Notes / Mehmet Zor
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