Q1:

Three point masses are placed at the corners of a triangle as shown in the accompanying figure. The origin of the system is defined to be at the position of the 150 g mass,
with displacement to the right of the origin corresponding to positive
𝑥
values and displacement above the origin corresponding to positive
𝑦
values.

Find the
𝑥
coordinate of the centre of mass system.

A
−
1
.
2
cm
B
−
1
.
0
cm
C
–
1
.
4
cm
D
−
1
.
1
cm
E
−
1
.
3
cm
Find the
𝑦
coordinate of the centre of mass system.

A
0.69 cm
B
1.1 cm
C
−
0
.
2
6
cm
D
0.91 cm
E
0.26 cm
Q8:

A system comprised of a sphere and a cylinder can be arranged in different ways, as shown in
the diagram. The cylinder has a length
𝑙
=
1
5
cm and a radius
𝑟
=
3
.
5
1
cm . The
sphere has a radius
𝑟
=
4
.
0
2
cm .
The cylinder and the sphere have the same density. In arrangement
𝐴
, the
axis of the cylinder along its length passes through the center of the sphere. In arrangement
𝐵
, the axis of the cylinder along the vertically directed radius of its
circular face, horizontally half-way along the cylinder’s length, passes through the center of
the sphere.