प्राचीन काल में मध्य प्रदेश की कौन सी नदी घाटी सभ्यता का केन्द्र रही ?

 

(A) नर्मदा घाटी

(B) सोन घाटी

(C) महानदी घाटी

(D) उपयुक्त सभी

प्राचीन काल में मध्य प्रदेश की कौन सी नदी घाटी सभ्यता का केन्द्र रही ?

(A) नर्मदा घाटी

(B) सोन घाटी

(C) महानदी घाटी

(D) उपयुक्त सभी

 15 वीं सदी में ग्वालियर पर किस वंश के शासक का अधिकार था?

(A) कुषाण वंश

(B) तोमर वंश

(C) नाग वंश

(D) शुंग वंश

Two forces \(P\over{\sqrt2}\) and Q acting parallel to length and base of a smooth inclinded plaine respectively. would each of them singly support a Weight W on the plane . Prove that that \(P^2 \)is the harmonic mean between \(Q^2 and W^2\).

A force P when applied along the smooth inclinded plane support a Weight \(W_1\) and when applied horizontally balances a weight \(W_2\) on the same plane . Prove that \(P^2=W_1^2-W_2^2.\)

Show that the smallest force which will keep a body in equilibrium on a smooth inclined plane must act along the plane.

A horizontal force of 15 kg . wt. can supported a weight 20 kg. on a smooth inclinded plane . When force acting parallel to the plane will supported the same weight.

A particle of weight 50 kg . is placed on smooth surface  inclinded to the horizontal at an angle \(sin^{-1}{3\over5}.\)Find the magnitude of the force 

1) Acting parallel to the plane 

2) acting horizontally, required to keep the body in equalibrium.

A body is sustained on a smooth plane by forces each equal to half of its weight , one acting horizontally and the other along the plane . Find the inclination of the plane.

Two  parallel force of magnitude 12N and 8N act at two points 45cm apart on a rigid body . Find the magnitude , direction  and the position of application of their resultant when the force are 

1) like 

2) unlike

The resultant of two parallel forces whose  line of action are 12 m apart  and act in opposite sense is 700 N. if the resultant act at 3m from the forces , what are the forces ?