Q: Block A of mass m and block B of mass 2m are placed on a fixed triangular wedge by means of a light and inextensible string and a frictionless pulley as shown in figure. The wedge is inclined at 45° to the horizontal on both sides. The coefficient of friction between the block A and the wedge is 2/3 and that between the block B and the wedge is 1/3. If the system of A and B is released from rest, then the acceleration of A is
(a) 1.5 ms-2
(c) 0.5 ms-2
(d) 1 ms-2
(fmax)A = μA(m g cos45)
(fmax)B = μB(2m g cos45)
Hence , the maximum value of friction obtained is
fmax = (fmax)A + (fmax)B …(i)
Net pulling force on the system is
F = F1-F2
F = 2m g sin45 – mg sin45 …(ii)
Pulling force < fmax
Therefore, the system will not move or the acceleration of block A will be zero.
Q: Two blocks of masses m1 and m2 connected by a string and placed on an rough inclined plane having coefficient of friction μas shown in figure. The ratio of masses m1/m2 so that the block m1 starts moving downward.
Q: A block slides down an inclined plane (angle of inclination 60°) with an acceleration g/2. The coefficient of kinetic (dynamic) friction.
on putting the value we get
Q: A block of mass m = 3 kg slides on a rough inclined plane of coefficient of friction 0.2. The resultant force offered by the plane on the block.
Q: Two blocks A and B each of mass 1 kg are on an inclined plane of inclination 37°. The coefficient of kinetic friction between blocks and the inclined plane is µk = 0.5. At t = 0, block A is released from rest but block B is projected up along inclined plane with speed 10 m/s. The initial separation between blocks is 6 m. Find the distance from initial position of A, where they will collide.
(a) 1 m
(b) 2 m
(c) 3 m
(d) 4 m