Can the displacement vector for a particle moving in two dimensions ever be longer than the length of path traveled by the particle over the same lime interval? Can it ever be less? Discuss. The length of the displacement vector is the straight-line distance between the beginning point and the ending point of the trip and therefore the shortest distance between the two points. If the path is a straight line, then the length of the displacement vector is the same as the length of the path. If the path is curved or consists of different straight line segments, then the distance from beginning to end will be less than the path length. Therefore, the displacement vector can never be longer than the length of the path traveled, but it can be shorter.
Can the displacement vector for a particle moving in two dimensions ever be longer than the length of path traveled by the particle over the same lime interval? Can it ever be less? Discuss. The length of the displacement vector is the straight-line distance between the beginning point and the ending point of the trip and therefore the shortest distance between the two points. If the path is a straight line, then the length of the displacement vector is the same as the length of the path. If the path is curved or consists of different straight line segments, then the distance from beginning to end will be less than the path length. Therefore, the displacement vector can never be longer than the length of the path traveled, but it can be shorter.
Can the displacement vector for a particle moving in two dimensions ever be longer than the length of path traveled by the particle over the same lime interval? Can it ever be less? Discuss.
The length of the displacement vector is the straight-line distance between the beginning point and the ending point of the trip and therefore the shortest distance between the two points. If the path is a straight line, then the length of the displacement vector is the same as the length of the path. If the path is curved or consists of different straight line segments, then the distance from beginning to end will be less than the path length. Therefore, the displacement vector can never be longer than the length of the path traveled, but it can be shorter.
Bats can detect small objects using echolocation. If a bat can detect insects approximately equal to the wavelength of the sound the bats emit, what is the smallest size of insects detectable if the bats emit chirps at a frequency of 60 kHz?
1) Two particle masses are placed on a rigid bar which is connected to linear
•
•
•
springs as shown below. The system is released from rest.
Calculate the system total kinetic and potential terms when the bar makes
angle with the horizontal line.
Calculate angular velocity of the system when =5(deg) and 8(deg), use
m=1(kg), k=20 N/m, 1=1(m).
Derive equation of motion of the system and then validate that with the
principle of conservation of energy.
Calculate max deflection of the system.
m
allilo
m
1.5k
2) For the robot shown below, derive total kinetic and potential energy of the
system. Also calculate the vectors of angular velocities of robot's links.
h
1₁
Oz
1₁
03
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