Radius of Curvature
Trending Questions
Q. A ball is thrown horizontally from the top of a tower with a speed of 5 m/s . What will be the radius of curvature of its trajectory 1 s after the ball is thrown? Take g=10 m/s2.
- 352√10 m
- 252√5 m
- 254√10 m
- 254√5 m
Q.
A particle is projected at angle θ with horizontal with velocity V0
Find
(i) tangential and normal acceleration of the particle at t = 0 and at highest point of its trajectory.
(ii) radius of curvature at t = 0 and highest point.
at t=0, at=−gsinθ
At highest point an=−g
at t=0, R=V2sinθ
At highest point R=V2cos2θg
Q. A particle is projected with speed u at an angle θ with the horizontal. Find the radius of curvature at the highest point of its trajectory.
- u2cos2θ2g
- √3u2cos2θ2g
- u2cos2θg
- √3u2cos2θg
Q. A particle is projected at angle θ with horizontal, with velocity v0 at t=0. Find the radius of curvature at t=0.
- v20/gcosθ
- v20cosθ/g
- (v0cosθ)2/g
- v20/g
Q. Radius of the curved road on national highway is R. Width of the road is b. The outer edge of the road is raised by hwith respect to inner edge so that a car with velocity vcan pass safe over it. The value of his
- v2bRg
- vRgb
- v2Rg
- v2bR
Q. A stone of mass 2 kg is projected from ground with speed 20 m/s at angle 30∘ with horizontal. The centripetal force acting on the object 1 s after projection is
- 10 N
- 20 N
- 30 N
- 40 N
Q. A particle is projected with speed u at an angle θ with the horizontal. Find the radius of curvature at the highest point of its trajectory.
- u2cos2θ2g
- √3u2cos2θ2g
- u2cos2θg
- √3u2cos2θg
Q. A car of mass 1000 kg moves in a circular path with a constant speed of 16 m/s. It is turned by 90∘, while travelling a distance of 628 m on the road. The centripetal force acting on the car is
- 160 N
- 320 N
- 1280 N
- 640 N
Q. An object is thrown horizontally with a velocity of 10 m/s. Find the radius of curvature of its trajectory 3 s after the motion has begun. Take g=10 m/s2
- 100√10 m
- 316 m
- 100√5 m
- 300 m
Q. What is the radius of curvature of the parabola traced by a projectile with initial speed u at an angle of 2θ with the horizontal, at a point where the velocity of the particle makes an angle θ with the horizontal?
- u2cos22θgcos3θ
- u2cos22θgcos2θ
- u2cos32θgcos2θ
- u2cos2θgcos3θ
Q. A car of mass 1000 kg moves in a circular path with a constant speed of 12 m/s. It is turned by 180∘, while travelling a distance of 628 m on the road. The centripetal force acting on the car is
- 1440 N
- 320 N
- 720 N
- 640 N