Question 55
A plank ABABAB, of length 2 m and mass M M\,M kg, rests with the end A A\,A against a rough vertical wall. The plank is held in a horizontal position by a rope attached to B B\,B and to the wall at the point CCC.
A small block of mass 2M 2M\,2M kg is placed on the plank at PPP, where AP=1.5AP = 1.5AP=1.5 m. The angle between the rope and the plank is α\alphaα, where tanα=34\displaystyle \tan\alpha = \frac{3}{4}tanα=43.
The plank is modelled as a uniform rod, the block as a particle and the rope as a light inextensible string.
a.[3]
Find, in terms of M M\,M and ggg, the tension in the rope BCBCBC.
b.[3]
Find the direction of the force exerted on the plank at AAA.
2.3 Forces and Newton's laws Questions
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.