wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A triangular plate is shown in the figure. A force F=4^i3^j is applied at point P. The torque acting at point P with respect to point O and point Q respectively are :

A
15203 ; 15+203
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
15+203 ; 15203
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
15+203 ; 15+203
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
15203 ; 15203
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 15203 ; 15203

Given,
F=4^i3^j

Position vector of F about point O,

r1=10cos60^i+10sin60^j

r1=5 ^i+53 ^j

Now, torque,
τ1=r1×F

τ1=(5^i+53^j)×(4^i3^j)

τ1=(15203)^k

Similarly, position vector of F about point Q,

r2=10cos60^i+10sin60^j

r2=5 ^i+53 ^j

Now, torque,
τ2=r2×F

τ2=(5 ^i+53 ^j)×(4 ^i3 ^j)

τ2=(15203)^k

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Torque: How Much Does a Force Turn?
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon