1) There are three blocks connected by strings as shown in the figure. Each bloc

Question

1) There are three blocks connected by strings as shown in the figure. Each block has the mass as following mass, m1=0.7kg m2=2.4kg m3=1.6kg

1) There are three blocks connected by strings as shown in the figure. Each block has the mass as following mass, m1=0.7kg m2=2.4kg m3=1.6kg Assuming there is no friction, (a) Find the acceleration of the blocks (b) Find the tension of the string between m2 and m3 3)An object m slides in a circle of radius r=1.5m on a frictionless table while attached to a hanging block M which has a mass of 1.7kg by a cord through a hole in the table. If the speed of m is 3.5m/s, what is the mass of the object m? kg 2) In the figure below, assume that the slope is frictionless and that the two blocks are connected by a massless cord. Assume the following: ?1 = 33½ ?2 = 47½ m1=2.8kg m2=0.95kg. What is the tension in the cord?. N

Explanation / Answer

1. Its a system

hence a= 1.6 x 9.8/(1.6+2.4+0.7)= 3.34m/s^2

T=m2a

= 2.4 x 3.34= 8.016N

2. here, m1g sin theta1= m2 g sin theta2

2.8 g x sin 33- 0.95 g sin 47=mtotal x a

1.525g- .695g= 2.66a

hence , a= 3.06m/s^2

1.525g-T= 2.8 x 3.06

T= 6.377N

3. here, centripetal force is providing tension

mv^2/r= Mg

m x 3.5 x 3.5/1.5= 1.7 x 9.8

m= 2.04kg

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