Problem 1: A small sphere of mass m = 400g is attached to the end of a cord of length 1.2m and set into motion in a vertical circle about a fixed point O, as illustrated in the figure below. Determine the magnitude of the tension in the cord a) when the object passes the top point with a speed of 6av's (Answer: 8.IN) b) when the object passes bottom point with a speed of Bm's (Answer: 25.3N) e) when the object passes the points whose amgles are 90° and 30° with speeds of 7m's and 7.8m's, respectively. (Aaswers:16.JN and 23. 7N) (Take g-am/s" in these probiems) 1)

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1 li. .
Physics_Lecture_6..
CIRCULAR MOTION
PHYSICS
Problem 1:
A small sphere of mass m 400g is attached to the end of a cord of length 1.2m and
set into motion in a vertical circle about a fixed point O, as illustrated in the figure below.
Determine the magnitude of the tension in the cord
a) when the object passes the top point with a speed of 6m's (Answer: 8.IN)
b) when the object passes bottom point with a speed of 8m's (Answer: 25.3N)
e) when the object passes the points whose angles are e- 90° and 30° with speeds of
7m's and 7.8m's, respectively. (Aawers:16.IN and 23.N) (Take gAm/s in these
1)
probiems)
CIRCULAR MOTION
PHYSICS
Problem 2:
2) A vertical centrifuge machine contins 200mg lignid medieme with different elements. Ins
main aim is to perfom a homogeneous misture. While doing this it robtes witha constant
linesr spred of 3.16aa's a vertcal eireular plane of adus 12em. Assaming the laquid
medicine behaves as a rigid object, find
a) the nonnal force exerting on the medicne at the bottom Lausver: 001BEN)
b) the normal force eterting on the medicine at the left side (90) LAnrer: 0166AN)
e) the somal foree exertng on the medicine at the top (Amwer: 0.0147N)
d) Find the mininum laear speed at the medicine passes the top point without
pouring oul the tube LAnser:.as )
CENTRUGE
NERTIOA
Medidre
CIRCULAR MOTION
PHYSICS
Problem 3:
Figure shows a commercial centrifuge machine.
The structure consists of a horizontal, rotating, circular platform of
diameter D from which medicine of mass m are suspended at the
bottom of massless tubes of length d. When the system rotates at
constant speed, the tubes make an angle e with vertical
Consider D = 0.06m, d = 0.12m, m = 0.03kg and e = 37°.
a) Find the magnitude of the normal force (N) acting on the medicine? (Answer:0.37N)
b) What is the speed of the medicine in each tube? (4nswer:0.86m/s)
(Assume that the medicine in the tube behaves as a rigid body while the centrituge machine is rotating.)
Matare
II
ENGINEERING PHYSICS
ENGINEERING PHYSICS ENGINEERING PHYSICS
Transcribed Image Text:1 li. . Physics_Lecture_6.. CIRCULAR MOTION PHYSICS Problem 1: A small sphere of mass m 400g is attached to the end of a cord of length 1.2m and set into motion in a vertical circle about a fixed point O, as illustrated in the figure below. Determine the magnitude of the tension in the cord a) when the object passes the top point with a speed of 6m's (Answer: 8.IN) b) when the object passes bottom point with a speed of 8m's (Answer: 25.3N) e) when the object passes the points whose angles are e- 90° and 30° with speeds of 7m's and 7.8m's, respectively. (Aawers:16.IN and 23.N) (Take gAm/s in these 1) probiems) CIRCULAR MOTION PHYSICS Problem 2: 2) A vertical centrifuge machine contins 200mg lignid medieme with different elements. Ins main aim is to perfom a homogeneous misture. While doing this it robtes witha constant linesr spred of 3.16aa's a vertcal eireular plane of adus 12em. Assaming the laquid medicine behaves as a rigid object, find a) the nonnal force exerting on the medicne at the bottom Lausver: 001BEN) b) the normal force eterting on the medicine at the left side (90) LAnrer: 0166AN) e) the somal foree exertng on the medicine at the top (Amwer: 0.0147N) d) Find the mininum laear speed at the medicine passes the top point without pouring oul the tube LAnser:.as ) CENTRUGE NERTIOA Medidre CIRCULAR MOTION PHYSICS Problem 3: Figure shows a commercial centrifuge machine. The structure consists of a horizontal, rotating, circular platform of diameter D from which medicine of mass m are suspended at the bottom of massless tubes of length d. When the system rotates at constant speed, the tubes make an angle e with vertical Consider D = 0.06m, d = 0.12m, m = 0.03kg and e = 37°. a) Find the magnitude of the normal force (N) acting on the medicine? (Answer:0.37N) b) What is the speed of the medicine in each tube? (4nswer:0.86m/s) (Assume that the medicine in the tube behaves as a rigid body while the centrituge machine is rotating.) Matare II ENGINEERING PHYSICS ENGINEERING PHYSICS ENGINEERING PHYSICS
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