a beam of length l is supported at one end. If w is the uniform load per unit length, the bending moment M at a distance x from the end is given by M= 1/2lx- 1/2wx2, find the point on the beam at which the bending moment has maximum value.
Q.7. Find whether the function is increasing or decreasing.
a beam of length l is supported at one end. If w is the uniform load per unit length, the bending moment M at a distance x from the end is given by M= 1/2lx- 1/2wx2, find the point on the beam at which the bending moment has maximum value.
Q.37. Find the equations or tangent and normal to curve at .
Q.31.
Q.32.
Q.6 Show that the normal at any pointe to the curve x = a cos + a sin , y = a sin - a cos is at a constant distance from the origin.
8) Find the equation of tangent to the curve
Q20. A driver stars a car from a point P at time t = 0 seconds and stops at point Q. The distance x ( in metres ) covered by it in t seconds is given by r = t2 . Find the time taken by it to reach Q and also find the distance between P and Q. The driver has stopped the car at the point Q on the roadside to take the call on his mobile phone. Has he done right in doing so ?
Q. If at each point on the curve y = x1 – ax2 + x +1 the tangent is inclined at an acute angle with positive direction of x axis , then
(a) a > 0 (b) a (c) |a| (d) none of these