D. 3.0 E. Zero Q.13: A disc of radius 0.25 m is initially rotating about an axis perpendicular to its plane and passing through its center at 0.5 rad/sec and is accelerating at 0.2 rad/s. The distance a point located at 10 cm from the center of the disc moves in 20 sec is: C. 9.8 m A. 2 m Q.14: A 2-kg particle moving horizontally with a speed of 5 m/s strikes ( ) a vertical wall for B. 5 m D. 12 m E. 25 m 2 ms. It then rebounds ( v) Iwith the
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
![aAprt f ma moi COte k ne une the h en batt during tchatof
eati t n hervative fottat uport when the particle mpletes anecle tietum
hato starting point toe 50 ko o mehnsa energ, the wore n loules) done by
he no ervative forte1ating on the partice during one cysle is
A 25
C- 75
100
QK The adjaient figure hows a mast m -0e that it attached to a tampresied spring ( -
*-with compresson dtance d-0!m The other end of the sping ia attacherd to alied wa
"he sprinE constart 5000 N/m, the peed (un m/s) of the mass when the spring returns to its
natural length (ie ng compression and no entension) is
A 15 8
B 20 3
C 28.7
D 38.2
E. 98
Q.9: The potential energy function for a two dimensional force is given by
U- (y-2y') aules.
The magnitude of the conservative force that is responsible for such potential when calculated at the
point (1, 2) m is:
A 3.6
B 9.8
C. 15.3
D. 24.2
E. 50.7
Q. 10. True or
depend on either the collision is elastic or inelastic".
A. True
"The law of conservation of total linear momentum of cclliding objects does not
B. False
Q.11: An object of mass m, = 2-kg moving to the right at 5 m/s strikes a stationary block (isits) in
a completely inelastic collision. Due to the collision, 60% of the initial kinetic energy is converted to
heat. The mass (in kg) of the stationary block is:
A. 0.25
6. 1.0
C. 5.0
D. 9.8
Е. 3.0
Q.12: A block of mass m, = 2-kg is located at the crigin in the XY plane. When t = 0, a second block of
mass m; = 3 kg, initially located at the point (-3, 4) m starts moving with a constant velocity:
I. = (3i + 6j) m/s.
The X-coordinate (in meters) of the center of mass of the two blocks when t = 2 sec, is:
A. 0.5
B. 9.0
С. 1,8
D. 3.0
E. Zero
Q.13: A disc of radius 0.25 m is initially rotating about an axis perpendicular to its plane and passing
through its center at 0.5 rad/sec and is accelerating at 0.2 rad/s. The distance a point located at 10
cm from the center of the disc moves in 20 sec is:
B. 5 m
C. 9.8 m
Q.14: A 2-kg particle moving horizontally with a speed of 5 m/s strikes (2) a vertical wall for
2 ms. It then rebounds () wvith the same speed. The magnitude of the average force (in kN)
A. 2 m
D. 12 m
E. 25 m
exerted on (k the particle by the wall is:
А. 2
В. 5
С. 10
D. 20
E. Zero](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0bd804a-f33b-4e5b-b94a-bc9f6cb6691c%2F6a554701-397a-4da6-a736-96645d8b28ab%2Fskughz_processed.jpeg&w=3840&q=75)
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