Free Body Diagrams

         

The above diagram shows two blocks of respective masses m1=7 kg m_1 = 7 \text{ kg} and m2=2 kg m_2 = 2 \text{ kg} which are connected by a massless string and placed on a horizontal frictionless surface. If a force of F=27 N F = 27 \text{ N} is applied to m1, m_1, what is the force exerted by the string on m2? m_2?

Two blocks of respective masses m1=6 kg m_1 = 6 \text{ kg} and m2=3 kg m_2 = 3 \text{ kg} are placed in contact on a horizontal frictionless surface. If a force of F=27 N F = 27 \text{ N} is applied to mass m1, m_1, what is the contact force on m2? m_2?

A block of mass m=15 kg m = 15 \text{ kg} is held stationary against a wall by applying a horizontal force F F on it, as shown in the above figure. If the coefficient of static friction between the wall and the block is μs=0.3 \mu_s = 0.3 and the coefficient of kinetic friction is μk=0.2, \mu_k = 0.2, what is the minimum value of F F required to hold the block against the wall?

The gravitational acceleration is g=10 m/s2. g = 10 \text{ m/s}^2.

Three blocks of respective masses m1=9 kg,m2=5 kg and m3=2 kg m_1 = 9 \text{ kg}, m_2 = 5 \text{ kg} \text{ and } m_3 = 2 \text{ kg} are placed in contact on a horizontal frictionless surface. If a force of F=16 N F = 16 \text{ N} is applied to m1, m_1, what is the contact force on m2 m_2 (from m1m_1)?

A block of mass m=5 kg m = 5 \text{ kg} is pulled by a force of F=302 N F = 30\sqrt{2} \text{ N} at an angle of θ=45 \theta = 45^\circ with the horizontal surface, as shown in the above figure. What is the acceleration of the block if the coefficient of kinetic friction between the surface and the block is μ=0.2, \mu = 0.2, assuming g=10 m/s2? g = 10 \text{ m/s}^2?

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