GENERAL PLANAR MOTION OF A RIGID BODY
1. A rigid triangular body PQR, with sides of equal length of 1 unit moves on a flat plane. At the instant shown,
edge QR is parallel to the x-axis, and the body moves such that velocities of points P and R are v p and vr in the
x and y directions, respectively. The magnitude of the angular velocity of the body is [ 2019 –S2]
a) 2 V R
P
VP
Vp
b) VR
√3
VR
c) Q R
√3
d) 2 V P
2. A rigid link PQ is 2 m long and oriented at 20 0 to the horizontal as shown in the figure. The magnitude and
direction of velocity VQ, and the direction of velocity VP are given. The magnitude of VP (in m/s) at this instant
is VQ = 1 m/s
a) 2.14
450
b) 1.89
c) 1.21
200
VP
d) 0.96
[20XX]
3. A rigid rod of length 1 m is resting at an angle Ɵ = 450 as shown in figure. The end P is dragged with a velocity
of VP = 5 m/s to the right. At the instant shown, the magnitude of the velocity V Q ( in m/s) of point Q as it
moves along the wall without losing contact is [ 2018- S2]
a) 5 Y
b) 6 Q
c) 8
VP = 5 m/s
VQ
d) 10
P X
4. A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10
m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is ___________.
Q
P 10 m/s
C
1. A rigid triangular body PQR, with sides of equal length of 1 unit moves on a flat plane. At the instant shown,
edge QR is parallel to the x-axis, and the body moves such that velocities of points P and R are v p and vr in the
x and y directions, respectively. The magnitude of the angular velocity of the body is [ 2019 –S2]
a) 2 V R
P
VP
Vp
b) VR
√3
VR
c) Q R
√3
d) 2 V P
2. A rigid link PQ is 2 m long and oriented at 20 0 to the horizontal as shown in the figure. The magnitude and
direction of velocity VQ, and the direction of velocity VP are given. The magnitude of VP (in m/s) at this instant
is VQ = 1 m/s
a) 2.14
450
b) 1.89
c) 1.21
200
VP
d) 0.96
[20XX]
3. A rigid rod of length 1 m is resting at an angle Ɵ = 450 as shown in figure. The end P is dragged with a velocity
of VP = 5 m/s to the right. At the instant shown, the magnitude of the velocity V Q ( in m/s) of point Q as it
moves along the wall without losing contact is [ 2018- S2]
a) 5 Y
b) 6 Q
c) 8
VP = 5 m/s
VQ
d) 10
P X
4. A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10
m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is ___________.
Q
P 10 m/s
C
