Question

and 12 Hint : 18 mu *36. Two blocks are connected by a light string which passes over frictionless and light pulley. The inclines are smooth. Find (a) the acceleration of each block and (b) the tension in the string Takem 6kg, m = 4 kg, 0, = 0, = 30,8 = 10 m/sec. T 7772 magine Hours blu 1m,geoso m2 geos Ozoal 0,19, I mig Vina 9 ​

Answer 1

Answer:

m  

1

​

=2.00kg,m  

2

​

=6.00kg,θ=55.0  

0

 

(a) The forces on the objects are shown below.

(b) ∑F  

x

​

=m  

2

​

gsinθ−T=m  

2

​

a and T−m  

1

​

g=m  

1

​

a

a=  

m  

1

​

+m  

2

​

 

m  

2

​

gsinθ−m  

1

​

g

​

 

 =  

2.00kg+6.00kg

(6.00kg)(9.80m/s  

2

)sin55.0  

0

−(2.00kg)(9.80m/s  

2

)

​

 

 =3.57m/s  

2

 

(c) T=m  

1

​

(a+g)=(2.00kg)(3.57m/s  

2

+9.80m/s  

2

)=26.7N

(d) Since v  

i

​

=0,v  

f

​

=at=(3.57m/s  

2

)(2.00s)=7.14m/s

Explanation: