1. Three children are trying to balance on a seesaw, which has a pivot at the center, and a very light board `5.0\ m` long. Two playmates are already on either end. Boy `A` has a mass of `50\ kg`. and girl `B` a mass of `35\ kg`. Where should girl `C`, whose mass is `25\ kg`, place herself so as to balance the seesaw?

2. For the given wheel and axle, find the magnitude of `F_(i n)`.

3. A block weight `900\ N` was pulled up on an inclined plane with a force of `400\ N` shown below. Assume the inclined plane is frictionless. a) What is IMA of this machine? b) Calculate the theoretical `F_(i n)`. c) What is AMA of this machine? d) What is Mechanical efficiency of this machine?

4. A `30`-`cm`-long and `5.0`-`cm`-width wedge cut in a block with a force of `40\ N` and produce `200\ N` output force as shown. Find a) Ideal mechanical advantage (IMA)? b) The theoretical output Force? d) Actual mechanical advantage (AMA)? e) Efficiency?

5. A jackscrew with a handle 30.0 cm long is used to lift a car sitting on the jack. The car raised 2.0 cm with every full turn of the handle. What is the ideal mechanical advantage of the jack?

6. The following pulley system made of 3 massless pulleys, and the load weight `W = 300\ N`. a) What is the IMA of this system? b) Find magnitude of tension T1,T2, T3, T4, T5 and T6.

7. Following graph is the chain gear system of a bicycle. The crank `Rc = 20.0\ cm`, `R_1 = 10.0\ cm`, `R_2 = 5.00\ cm` and `R_w = 30.0 cm`. If `F_(i n) = 500\ N` a) Find tension `T` on the chain? b) If the total mass of biker and bicycle is `100\ kg`. What is the the acceleration of the bicycle?