Assignments

A wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis with a constant angular acceleration of 4.0 rad s⁻². The wheel starts at rest at t = 0 and the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at this instant. Calculate the angular speed of the wheel, the angular position of the point A and the total acceleration at t = 2.0s.

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Introduction This problem involves rotational motion with constant angular acceleration. We’re asked to find the angular speed, angular position, and total acceleration of a point on the rim of a rotating wheel after 2 seconds. Given Data Diameter of wheel = 2.0 m ⇒ Radius (r) = 1.0 m Angular acceleration (α) = 4.0 rad/s² […]

A wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis with a constant angular acceleration of 4.0 rad s⁻². The wheel starts at rest at t = 0 and the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at this instant. Calculate the angular speed of the wheel, the angular position of the point A and the total acceleration at t = 2.0s. Read More »

A box of mass 8.0 kg slides at a speed of 10 ms⁻¹ across a smooth level floor before it encounters a rough patch of length 3.0 m. The frictional force on the box due to this part of the floor is 70 N. What is the speed of the box when it leaves this rough surface? What length of the rough surface would bring the box completely to rest?

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Introduction This problem deals with the effect of friction on a moving object. When a box moves across a rough surface, the frictional force does negative work, reducing the speed of the box. We’ll apply the work-energy theorem to solve the two parts of this problem. Given Data Mass of box, m = 8.0 kg

A box of mass 8.0 kg slides at a speed of 10 ms⁻¹ across a smooth level floor before it encounters a rough patch of length 3.0 m. The frictional force on the box due to this part of the floor is 70 N. What is the speed of the box when it leaves this rough surface? What length of the rough surface would bring the box completely to rest? Read More »

A ball having a mass of 0.5 kg is moving towards the east with a speed of 8.0 ms⁻¹. After being hit by a bat it changes its direction and starts moving towards the north with a speed of 6.0 ms⁻¹. If the time of impact is 0.1 s, calculate the impulse and average force acting on the ball.

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Introduction This problem involves a change in the direction of motion of a ball due to a hit by a bat. Since the direction changes from east to north, we must deal with vector quantities. The concepts of impulse and average force are used here, which are based on the impulse-momentum theorem. Given Data Mass

A ball having a mass of 0.5 kg is moving towards the east with a speed of 8.0 ms⁻¹. After being hit by a bat it changes its direction and starts moving towards the north with a speed of 6.0 ms⁻¹. If the time of impact is 0.1 s, calculate the impulse and average force acting on the ball. Read More »

A crate of mass 30.0 kg is pulled by a force of 300 N up an inclined plane which makes an angle of 30º with the horizon. The coefficient of kinetic friction between the plane and the crate is μk = 0.225. If the crate starts from rest, calculate its speed after it has been pulled 15.0 m. Draw the free body diagram.

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Introduction In this problem, we are asked to calculate the final speed of a crate being pulled up an inclined plane with friction. To solve this, we apply Newton’s laws of motion and the work-energy theorem. We’ll also include a descriptive explanation of the free body diagram (FBD). Given Data Mass of crate, m =

A crate of mass 30.0 kg is pulled by a force of 300 N up an inclined plane which makes an angle of 30º with the horizon. The coefficient of kinetic friction between the plane and the crate is μk = 0.225. If the crate starts from rest, calculate its speed after it has been pulled 15.0 m. Draw the free body diagram. Read More »

Distinguish between: a) Equity financing and Debt financing b) Angel investors and Venture capitalist.

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Introduction When starting or growing a business, entrepreneurs need money. This money can come from different sources. Two common ways to raise money are equity financing and debt financing. Also, many start-ups receive funding from angel investors or venture capitalists. These sources are different from each other in terms of control, repayment, risk, and ownership.

Distinguish between: a) Equity financing and Debt financing b) Angel investors and Venture capitalist. Read More »

Write short notes on: b) PESTLE Analysis

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Introduction PESTLE Analysis is a simple but powerful tool used by entrepreneurs and business managers to understand the external factors that affect their business. The word PESTLE stands for Political, Economic, Social, Technological, Legal, and Environmental factors. It helps entrepreneurs to prepare better strategies by identifying opportunities and threats in the external environment. In this

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Write short notes on: a) Ecosystem Challenges

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Introduction In the world of entrepreneurship, an ecosystem refers to the network of individuals, institutions, and support systems that help start-ups grow and succeed. However, like any system, it faces certain challenges that make it difficult for entrepreneurs to operate smoothly. These challenges are known as ecosystem challenges. In this answer, we will discuss some

Write short notes on: a) Ecosystem Challenges Read More »

Discuss the success stories of two women entrepreneurs in India.

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Introduction Women entrepreneurs in India are making a big mark in various industries like fashion, food, technology, healthcare, and education. Despite facing many challenges such as lack of support, funding issues, and social limitations, several women have broken barriers and built successful businesses. Their stories inspire many others, especially young girls and women who want

Discuss the success stories of two women entrepreneurs in India. Read More »

What is MSMED Act, 2006? Discuss the key provisions of the Act.

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Introduction The Micro, Small and Medium Enterprises Development (MSMED) Act, 2006, is a very important law passed by the Government of India. Its main aim is to promote, support, and develop micro, small, and medium enterprises (MSMEs) in the country. MSMEs are the backbone of the Indian economy. They create jobs, boost production, support exports,

What is MSMED Act, 2006? Discuss the key provisions of the Act. Read More »

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