The table lamp in the figure below has a circular base of diameter 120 mm and a height of 300 mm. It stands on a rough horizontal surface. The centre of mass of the table lamp is 60 mm above its base. 300 mm centre of mass 60 mm 120 mm 8 N a) With the help of a diagram, explain why the table lamp topples when a certain angle of tilt is exceeded. Find the value of this angle. b) Explain why it is possible for the centre of mass to be only 60 mm above the base and not midway between the top and base of the lamp. c) When a horizontal force of 8 N is applied at the top of the table lamp as shown in the lower diagram, the table lamp just begins to pivot about its base. Calculate the weight of the table lamp. d) Give TWO reasons why fitting a thin but heavy metal disc of diameter 160 mm to the base of the lamp would improve its stability.
The table lamp in the figure below has a circular base of diameter 120 mm and a height of 300 mm. It stands on a rough horizontal surface. The centre of mass of the table lamp is 60 mm above its base. 300 mm centre of mass 60 mm 120 mm 8 N a) With the help of a diagram, explain why the table lamp topples when a certain angle of tilt is exceeded. Find the value of this angle. b) Explain why it is possible for the centre of mass to be only 60 mm above the base and not midway between the top and base of the lamp. c) When a horizontal force of 8 N is applied at the top of the table lamp as shown in the lower diagram, the table lamp just begins to pivot about its base. Calculate the weight of the table lamp. d) Give TWO reasons why fitting a thin but heavy metal disc of diameter 160 mm to the base of the lamp would improve its stability.
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Transcribed Image Text:O The table lamp in the figure below has a circular base of
diameter 120 mm and a height of 300 mm. It stands on a
rough horizontal surface. The centre of mass of the table
lamp is 60 mm above its base.
300 mm
centre
of mass
60 mm
120 mm
8 N
a) With the help of a diagram, explain why the table
lamp topples when a certain angle of tilt is exceeded.
Find the value of this angle.
b) Explain why it is possible for the centre of mass to be
only 60 mm above the base and not midway between
the top and base of the lamp.
c) When a horizontal force of 8 N is applied at the top
of the table lamp as shown in the lower diagram,
the table lamp just begins to pivot about its base.
Calculate the weight of the table lamp.
d) Give TWO reasons why fitting a thin but heavy metal
disc of diameter 160 mm to the base of the lamp
would improve its stability.
11 By giving THREE examples, one for each, of bodies in
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