1
GATE ME 2024
+1
-0.33

A rigid massless tetrahedron is placed such that vertex O is at the origin and the other three vertices A, B, and C lie on the coordinate axes as shown in the figure. The body is acted on by three point loads, of which one is acting at A along x-axis and another at point B along y-axis. For the body to be in equilibrium, the third point load acting at point O must be

A

along z-axis

B

in x - y plane but not along x or y axis

C

in y - z plane but not along y or z axis

D

in z - x plane but not along z or x axis

2
GATE ME 2017 Set 1
+1
-0.3
A Particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by $$r\left( t \right) = {t^2},\theta \left( t \right) = t,$$ where $$t$$ is time. The kinetic energy of the particle at time $$t=2$$ is
A
$$4$$
B
$$12$$
C
$$16$$
D
$$24$$
3
GATE ME 2017 Set 1
Numerical
+1
-0
The following figure shows the velocity- time plot for a particle traveling along a straight line. The distance covered by the particle from $$t = 0$$ to $$t= 5$$ $$s$$ is __________$$m.$$
4
GATE ME 2016 Set 1
Numerical
+1
-0
A rigid ball of weight $$100$$ $$N$$ is suspended with the help of a string. The ball is pulled by a horizontal force $$F$$ such that the string makes an angle of $${30^0}$$ with the vertical. The magnitude of force $$F$$ (in N) is __________