Q1: The spring is undeformed (unstretched) when x = 0. If the body moves from the initial position x1 = 100 mm to the final position x2 = 200 mm, determine: 1- The work done by the spring on the body 2- The work done on the body by its weight.
Q1: The spring is undeformed (unstretched) when x = 0. If the body moves from the initial position x1 = 100 mm to the final position x2 = 200 mm, determine: 1- The work done by the spring on the body 2- The work done on the body by its weight.
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![Subject: Eng. Mech. Dynamics I
Tutorial Sheet 5
University of Babylon
Kinetics of particles
"Work and Energy"
Class: 2nd
College of Engineering/Al-Musayab
Lecturer: Mushrek A. Mahdi
30
Q1: The spring is undeformed (unstretched) when
x = 0. If the body moves from the initial position
x, = 100 mm to the final position x2 = 200 mm,
2 lb
determine:
15
1- The work done by the spring on the body
2- The work done on the body by its weight.
[ Ans.: U, = -60 J, Uw = 2.35 J]
www
Q4: The system is released from rest with no
slack in the cable and with the spring
4 kN/m
unstretched. Determine the distanced s traveled
by the 10-kg cart before it comes to rest (a) if m
approaches zero and (b) if m = 2 kg Assume no
mechanical interference
7 kg
[ Ans.: (a) s = 0. 663 m, (b) s = 0.349 m]
20
Q2: The 64.4-lb crate slides down the curved path
in the vertical plane. If the crate has a velocity of 3
ft/sec down the incline at A and a velocity of 25
ft/sec at B, compute the work U, done on the crate
by friction during the motion from A to B.
25
k = 125 N/m
[Ans.: Uf = -672 lb. ft ]
3 ft/sec
Q5: The 2-kg collar is released from rest at A and
slides down the inclined fixed rod in the vertical
plane. The coefficient of kinetic friction is 0.40.
Calculate (1) the velocity v of the collar as it strikes
the spring and (2) the maximum deflection x of the
spring.
20
B 25 ft/sec
[ Ans.: (1) v = 2.56 m/s, x = 98.9 mm]
Q3: The 1.5-lb collar slides with negligible friction
on the fixed rod in the vertical plane. If the collar
starts from rest at A under the action of the constant
2 kg
0.5 m
2-lb horizontal force, calculate its velocity v
as it hits the stop at B.
Hq = 0.40
[ Ans.: (1) v = 17.18 ft/s]
k = 1.6 kN/m
60](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4e99faa-c4fe-4fdd-bef8-23fe749cb39e%2F2c275b98-c504-4d40-9060-14845807427b%2F7ihytn4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Subject: Eng. Mech. Dynamics I
Tutorial Sheet 5
University of Babylon
Kinetics of particles
"Work and Energy"
Class: 2nd
College of Engineering/Al-Musayab
Lecturer: Mushrek A. Mahdi
30
Q1: The spring is undeformed (unstretched) when
x = 0. If the body moves from the initial position
x, = 100 mm to the final position x2 = 200 mm,
2 lb
determine:
15
1- The work done by the spring on the body
2- The work done on the body by its weight.
[ Ans.: U, = -60 J, Uw = 2.35 J]
www
Q4: The system is released from rest with no
slack in the cable and with the spring
4 kN/m
unstretched. Determine the distanced s traveled
by the 10-kg cart before it comes to rest (a) if m
approaches zero and (b) if m = 2 kg Assume no
mechanical interference
7 kg
[ Ans.: (a) s = 0. 663 m, (b) s = 0.349 m]
20
Q2: The 64.4-lb crate slides down the curved path
in the vertical plane. If the crate has a velocity of 3
ft/sec down the incline at A and a velocity of 25
ft/sec at B, compute the work U, done on the crate
by friction during the motion from A to B.
25
k = 125 N/m
[Ans.: Uf = -672 lb. ft ]
3 ft/sec
Q5: The 2-kg collar is released from rest at A and
slides down the inclined fixed rod in the vertical
plane. The coefficient of kinetic friction is 0.40.
Calculate (1) the velocity v of the collar as it strikes
the spring and (2) the maximum deflection x of the
spring.
20
B 25 ft/sec
[ Ans.: (1) v = 2.56 m/s, x = 98.9 mm]
Q3: The 1.5-lb collar slides with negligible friction
on the fixed rod in the vertical plane. If the collar
starts from rest at A under the action of the constant
2 kg
0.5 m
2-lb horizontal force, calculate its velocity v
as it hits the stop at B.
Hq = 0.40
[ Ans.: (1) v = 17.18 ft/s]
k = 1.6 kN/m
60
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