Expatica is the international community’s online home away from home. A must-read for English-speaking expatriates and internationals across Europe, Expatica provides a tailored local news service and essential information on living, working, and moving to your country of choice.
A block whose mass is m is fired up an inclined plane (see Figure 8.5) with an initial velocity v 0. It travels a distance d up the plane, comes momentarily to rest, and then slides back down to the bottom of the plane.
The angle through which this cylinder rotates, θ, increases as the cylinder rotates counterclockwise as seen from above; the vector direction is seen in the black vector θ shown in the figure. If there is a force F acting at a distance r from the axis, the torque vector is given by the red vector τ shown in the figure, τ=Fxr. So, W=τ∙θ.
For particle projected up the plane, in this situation we take two axes , one perpendicular to the plane and other along the plane then , taking component of velocity and acceleration along these axes we get :along x-axis ux =10cos300 = 5 3 ,ax =−gsin300 = −5and along y-axis, uy =10sin300 = 5,ay =−gcos300 = −5 3 using these we get, time of flight T = ay 2uy = 5 3 2×5 = 3 2 so, vx =ux +ax t = 5 3 −5× 3 2 = 35 3 m/sand vy = uy +ay t =5−5 3 × ...
14. From an inclined plane two particles P, Q are projected with same speed at same angle , one up and other down the plane as shown in figure. Which of the following statement(s) is/are correct? (A) The particles will collide the plane with same speed (B) the times of flight of each particle are same
#GRepracticequestion The figure above shows the graph of the function f in the xy-plane.jpg [ 10.9 KiB | Viewed 5936 times ].
Figure 6.4(b) shows a surface S 2 S 2 of area A 2 A 2 that is inclined at an angle θ θ to the xz-plane and whose projection in that plane is S 1 S 1 (area A 1 A 1). The areas are related by A 2 cos θ = A 1 .