The chapter **Centre of Mass** is a very important part of Mechanics in the syllabus of **UPSEE** Examination 2018. The centre of mass is a point where the complete mass of any object is supposed to be concentrated. Usually the definition of centre of mass does not come in UPSEE entrance Examination. Therefore, students should focus on numerical questions related to chapter centre of mass. The numerical questions are not so difficult but students will have to do a lot of practice to master this topic. These chapter notes include important topics like the **centre of mass of two points system, centre of mass of n points system, impulse, thrust **etc. These notes are prepared by Subject Expert and can be used for quick revision.

**About the exam:**

Uttar Pradesh State Entrance Examination (UPSEE) is a state level engineering entrance examination for degree level engineering institutions and other professional colleges. It is regulated by Dr. A.P.J. Abdul Kalam Technical University (AKTU) formerly known as Uttar Pradesh Technical University (UPTU).

**UPSEE/UPTU Physics Syllabus: 2017 - 2018**

**Important Concepts:**

**UPSEE Solved Question Paper: 2015**

**Some important solved questions are also given here:**

**Question 1:**

Distance of the centre of mass of a solid uniform cone from its vertex is *z*_{0}. If the radius of its base is *R* and its height is *h* then *z*_{0} is equal to

**Solution 1:**

Hence, the correct option is (a).

**UPSEE 2017 Question Paper with detailed Solutions**

**Question 2:**

A solid cylinder of mass M and radius R rolls without slipping down on inclined plane of length L and height h. What is the speed of its centre of mass, when the cylinder reaches its bottom?

**Solution 2:**

Hence, the correct option is (a).

**Important Questions and Preparation Tips – Work, Power and Energy**

**Question 3:**

A stick of length L and mass M lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass m moving with speed v collides elastically with the stick as shown in figure.

**Solution 3:**

Hence, the correct option is (d).

**Important Questions and Preparation Tips – Laws of Motion**

**Question 4:**

**Solution 4:**

Hence, the correct option is (b).