16 In the diagram, a flowerpot of mass m kg is hung from a ceiling by two chains. Let the tensions in the chains AP and BP be T₁ and T₂ newtons respectively. The third force acting at P is the weight of the flowerpot. a By finding the horizontal component of the resultant of the three forces acting at P, show that T₁ = √3T₂. b By finding the vertical component of the resultant of the three forces acting at P, show that √3T₁+T₂ = 19.6m newtons. c Find the mass of the flowerpot, given that T₂ = 98 N. 60 ceiling 30° T₂ flower pot (m kg)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
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16 In the diagram, a flowerpot of mass m kg is hung from a ceiling by two chains.
Let the tensions in the chains AP and BP be T₁ and T₂ newtons respectively.
The third force acting at P is the weight of the flowerpot.
a By finding the horizontal component of the resultant of the three forces acting
at P, show that T₁ = √√3 T₂.
b
By finding the vertical component of the resultant of the three forces acting at
P, show that √3T₁+T₂ = 19.6m newtons.
c
Find the mass of the flowerpot, given that T₂ = 98 N.
60°
ceiling B
30°
flower pot
(m kg)
Transcribed Image Text:16 In the diagram, a flowerpot of mass m kg is hung from a ceiling by two chains. Let the tensions in the chains AP and BP be T₁ and T₂ newtons respectively. The third force acting at P is the weight of the flowerpot. a By finding the horizontal component of the resultant of the three forces acting at P, show that T₁ = √√3 T₂. b By finding the vertical component of the resultant of the three forces acting at P, show that √3T₁+T₂ = 19.6m newtons. c Find the mass of the flowerpot, given that T₂ = 98 N. 60° ceiling B 30° flower pot (m kg)
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