Question

solved for a, (substitution can also be used). 29 - HAM m+mig Substitute the given values to obtain the acceleration (7.40 kg) (9.80 ) - (0.300) (4.00 kg) (9.80) 4.00 kg + 7.40 kg m/s? a Substitute the value Into Equation (1) to find the tension T T- N (b) Find the acceleration using the system approach, where the system consists of two blocks. Apply Newton's second law to the system and solve for a. (Use my, my. Men, and g as appropriate.) ( mm) - 29 - Mm,9 - 7,9 Remarks Although the system approach seems quick and easy, it can be applied only in special cases and can't give any Information about the internal forces, such as the tension. To find the tension, you must consider the free-body diagram of one of the blocks separately. Exercise 4.13 Hints: Getting Started I What if an additional mass is attached to the ball in Example 4.13? How large must the mass be to increase the downward acceleration by 35%? kog Why isn't it possible to add enough mass to double the acceleration?

Please answer the 3 blanks above (a=, T=, and a=). Then please answer the bottom, exercise 4.13 (both parts.) Thanks!

Answer 1

tension equation not available. I used an appropriate equation for finding tension on seeing the equation of acceleration .(hope this makes sense)

a = mg - mg m, tmz = 47.4*9.8)–6-3*4*9.8) 4 + 7.4 - 5.33mls T =) m₂g-T=mza T = m₂ (g-a) - 7.4 (9.8-5.33) 33.08 N

B)is same as that of first equation given. If the values plugged are same then acceleration is also same.

1, 2,)а - m, 4 – km, а a = m, 9- km, а mitmz - 5.33 ms-

Now acceleralin és în ceased by 35%, So, new a = 5.33+ (5.33x0.35)=7.2m13 म so] 7.2= mag-um, 9.8 m' !_(0.3x4x9.8) m, tm ttm₂ 7.2x4 + 7.2m = 9.8 m2 - 11.76 2.6m2' 40.56 ma - 40.56 2.6 ma = 15.6kg We should add 8.2kg mass with 7.4kg So total = 15.6kg

If we want to double the acceleration we should add more mass on the hanging part. But it's impossible.. normal acceleration is 5.33m/s2. Doubled acceleration is 10.66m/s2. Give this value to the above equation. We well get a negetive mass on the hanging part, which is impossible. If so we will be forced to increase the value of acceleration due to gravity on surface of earth .whcih is not possible.