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Syllabus

_{1}, T_{2}and T_{3}in the three threads shown in the following figure. (All threads are massless) (g = 10 m/s^{2})$\left(1\right)30N,40N,50N\phantom{\rule{0ex}{0ex}}\left(2\right)50N,30N,40N\phantom{\rule{0ex}{0ex}}\left(3\right)35N,45N,40N\phantom{\rule{0ex}{0ex}}\left(4\right)30N,50N,40\hspace{0.17em}N$

A wedge of height 'h'is released from rest with a light particles P placed on it as shown.the wedge slides down an incline which makes an angle $\theta $ with horizontal.All the surface are smooth ,P will reach the surface of the surface of the incline in time.$\left(a\right)\sqrt{\frac{2h}{g{\mathrm{sin}}^{2}\theta}}\left(b\right)\sqrt{\frac{2h}{g\mathrm{sin}\theta \mathrm{cos}\theta}}\left(c\right)\sqrt{\frac{2h}{g\mathrm{tan}\theta}}\left(d\right)\sqrt{\frac{2h}{g{\mathrm{cos}}^{2}\theta}}$

Solve this :23. The radius of smooth light pulley is 0.2 m. The mass of each block is 10 kg. Find the normal force per unit length of its length, the string applies the pulley.

(a) 500 N/m (b) 100 N/m

(c) 200 N/m (d) 250 N/m

73. Block A, with weight 3w,slides down an inclined plane

S of slope angle 37$\xb0$ at a constant speed while plank B,

with weight w,rests on top of A.The plank is attached

by a cord to the walt.(a) Draw a diagram of all the forces

acting on block A. (b) If the coefficient of kinetic

friction is the same between A and B and between S and

A,determine its value.

$\left(\mathrm{a}\right)\frac{9}{20}\left(\mathrm{b}\right)\frac{1}{5}\phantom{\rule{0ex}{0ex}}\left(\mathrm{c}\right)\frac{3}{4}\left(\mathrm{d}\right)\frac{1}{4}$

Ans is A)

Challenge

1) 2000 N 2) -2000 N

3) 4000 N 4) -4000 N

Q. A ball mass 50 g is dropped from a height of 20 m . A boy on the ground hits ball vertically upwards with a bat with an average force of 200 N. so that it attains a vertical height of 45 m. The time for which the ball remains in contact with the bat is [Take g= 10 m/${s}^{2}$]

1. 1/20th of a second 2. 1/40th of a second

3. 1/80th of a second 4. 1/120th of a second